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Popular >

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

Solution

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

Solution

y = c_{1} x^{2} + c_{2} + \frac{x ^{3}}{3}

Solution steps

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

Solve linear ODE:

y = c_{1} x^{2} + c_{2} + \frac{x ^{3}}{3}

y = c_{1} x^{2} + c_{2} + \frac{x ^{3}}{3}

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Frequently Asked Questions (FAQ)

What is the solution for xy^{''}-y^'=x^2 ?
The solution for xy^{''}-y^'=x^2 is y=c_{1}x^2+c_{2}+(x^3)/3