The solution of the given differential equation d y-d x-2 x y-y is A- y-c ex-xB- y-c ex2-xC- y - ce xD- y - ce - x 2

The correct option is A y=ce^x x^2 dy/dx+(2x 1)y=0; I.F.=e^∫(2x 1)dx=e^x^2 x Required solution is ye^x^2 x=c or y =ce^x x^2 ...

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Solving Linear Differential Equations of First Order

The solution ...

Question

The solution of the given differential equation $\frac{d y}{d x} + 2 x y = y$ is

y = c e^{x - x^{2}}

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y = c e^{x^{2} - x}

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y = c e^{x}

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y = c e^{- x^{2}}

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Solution

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\frac{d y}{d x} + x (x + y) = x^{3} (x + y)^{3} - 1

^{'} C^{'}

\frac{d y}{d x} + x (x + y) = x^{3} (x + y)^{3} - 1

(x + y)^{- k} = c e^{x^{2}} + x^{2} + 1

\frac{(k + 2)^{3}}{k^{4}} =

\frac{d y}{d x} + 2 x y = y

\frac{d y}{d x} = \frac{y^{2} - 2 x y - x^{2}}{y^{2} + 2 x y - x^{2}}

y = 1

x = 1

\frac{d y}{d x} = \frac{y}{x}

\frac{d y}{d x} = \frac{- y}{x}

\frac{d y}{d x} = \frac{x}{y}

\frac{d y}{d x} = \frac{- x}{y}

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