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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

derivative of x^2-3x+2 derivative of

x^{2} - 3 x + 2

integral from-4 to 0 of 2+sqrt(16-x^2)

\int_{- 4}^{0} 2 + 16 - x^{2} d x

integral from-1 to 2 of x-x^2+2

\int_{- 1}^{2} x - x^{2} + 2 d x

(\partial)/(\partial x)(sqrt(2x^2+4y^2))

\frac{\partial}{\partial x} (2 x^{2} + 4 y^{2})

f (t) = e^{5 t}

Frequently Asked Questions (FAQ)

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