Solve this following

Question: Solve $(\mathrm{x}+1) \frac{\mathrm{dy}}{\mathrm{dx}}=2 \mathrm{e}^{-\mathrm{y}}-1$, given that $x=0$ when $y=0$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $(x+y+1) \frac{d y}{d x}=1$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $(x+y) \frac{d y}{d x}=1$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $\left(x+3 y^{3}\right) \frac{d y}{d x}=y,(y0)$ Solution: Multiplying above equation by $y$,...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $y d x+\left(x-y^{2}\right) d y=0$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $y d x+\left(x-y^{2}\right) d y=0$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $y d x-\left(x+2 y^{2}\right) d y=0$ Solution:...

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A curve passes through the point

Question: A curve passes through the point $(0,2)$ and the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5 . Find the equation of the curve. Solution:...

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A curve passes through the origin and the slope of the tangent to the curve

Question: A curve passes through the origin and the slope of the tangent to the curve at any point $\left(X_{1}\right)$ is equal to the sum of the coordinates of the point. Find the equation of the curve. Solution:...

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Find a particular solution satisfying the given

Question: Find a particular solution satisfying the given condition for each of the following differential equations. $\frac{d y}{d x}+y \tan x=2 x+x^{2} \tan x$, given that $y=1$ when $x=0$ Solution:...

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Find a particular solution satisfying the given condition for each of the following differential equations.

Question: Find a particular solution satisfying the given condition for each of the following differential equations. $\mathrm{x} \frac{\mathrm{dy}}{\mathrm{dx}}-\mathrm{y}=\log \mathrm{x}$, given that $y=0$ when $x=1$ Solution:...

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Find a particular solution satisfying the given

Question: Find a particular solution satisfying the given condition for each of the following differential equations. $\left(1+x^{2}\right) \frac{d y}{d x}+2 x y=4 x^{2}$, given that $y=0$ when $x=0$ Solution:...

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Find a particular solution satisfying the given condition for each of the following differential equations.

Question: Find a particular solution satisfying the given condition for each of the following differential equations. $\frac{d y}{d x}+2 y=e^{-2 x} \sin x$, given that $y=0$, when $x=0$ Solution:...

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Find a particular solution satisfying the given condition for each of the following differential equations.

Question: Find a particular solution satisfying the given condition for each of the following differential equations. $\frac{\mathrm{dy}}{\mathrm{dx}}+2 \mathrm{xy}=\mathrm{x}$, given that $y=0$ when $x=0$ Solution:...

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Find a particular solution satisfying the given condition for each of the following differential equations.

Question: Find a particular solution satisfying the given condition for each of the following differential equations. $\frac{d y}{d x}+y \cot x=4 x \cos e c x$, given that $y=0$ when $x=\frac{\pi}{2}$. Solution:...

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Find a particular solution satisfying the given condition for each of the following differential equations.

Question: Find a particular solution satisfying the given condition for each of the following differential equations. $\mathrm{x} \frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{y}=\mathrm{x}^{3}$, given that $y=1$ when $x=2$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}+y \cot x=x^{2} \cot x+2 x$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}+2 y \tan x=\sin x$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}=y \cot x=\sin 2 x$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}=y \tan x-2 \sin x$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $x \frac{d y}{d x}-y=2 x^{2} \sec x$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}+2 y \cot x=3 x^{2} \operatorname{cosec}^{2} x$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $(\sin x) \frac{d y}{d x}+(\cos x) y=\cos x \sin ^{2} x$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $\left(1+x^{2}\right) \frac{d y}{d x}+2 x y=\cot x$ Solution:...

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Find the general solution for each of the following differential equations.

Question: Find the general solution for each of the following differential equations. $\sec x \frac{d y}{d x}-y=\sin x$ Solution:...

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