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Popular >

y^'=2y-x^2

Solution

y^{^{'}} = 2 y - x^{2}

Solution

y = \frac{x ^{2}}{2} + \frac{x}{2} + \frac{1}{4} + c_{1} e^{2 x}

Solution steps

y^{'} (x) = 2 y - x^{2}

Solve linear ODE:

y = \frac{x ^{2}}{2} + \frac{x}{2} + \frac{1}{4} + c_{1} e^{2 x}

y = \frac{x ^{2}}{2} + \frac{x}{2} + \frac{1}{4} + c_{1} e^{2 x}

Popular Examples

((x^2+x+4)/(x+1))^'

(\frac{x ^{2} + x + 4}{x + 1})^{^{'}}

laplacetransform 8te^{2t}laplace transform

8 t e^{2 t}

derivative of f(x)=(5-xe^x)/(x+e^x)derivative of

f (x) = \frac{5 - x e ^{x}}{x + e ^{x}}

derivative of (x^2/(sqrt(2)))

\frac{d}{d x} (\frac{x ^{2}}{2})

derivative of y=xe^{-2x}derivative of

y = x e^{- 2 x}

Frequently Asked Questions (FAQ)

What is the solution for y^'=2y-x^2 ?
The solution for y^'=2y-x^2 is y=(x^2)/2+x/2+1/4+c_{1}e^{2x}