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Popular Calculus >

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}

Graph

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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}