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Popular >

x((dy)/(dx))-y=2x^2y

Solution

x (\frac{d y}{d x}) - y = 2 x^{2} y

Solution

y = e^{x^{2} + c_{1}} x

Solution steps

x (\frac{d y}{d x}) - y = 2 x^{2} y

Solve separable ODE:

y = e^{x^{2} + c_{1}} x

y = e^{x^{2} + c_{1}} x

Popular Examples

(dy)/(dx)=e^y(x-1)^2

\frac{d y}{d x} = e^{y} (x - 1)^{2}

y^{^{'}} + 2 y = - 10

e^yy^'=((ln(t))^2)/t ,y(1)=ln(2)

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}, y (1) = ln (2)

(dy}{dx}=\frac{y(y+1))/x

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

y^'-5y=0,y(0)=2

y^{^{'}} - 5 y = 0, y (0) = 2

Frequently Asked Questions (FAQ)

What is the solution for x((dy)/(dx))-y=2x^2y ?
The solution for x((dy)/(dx))-y=2x^2y is y=e^{x^2+c_{1}}x