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Popular >

xy^'+2y=x^2

Solution

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

Solution

y = \frac{x ^{2}}{4} + \frac{c _{1}}{x ^{2}}

Solution steps

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

Solve linear ODE:

y = \frac{x ^{2}}{4} + \frac{c _{1}}{x ^{2}}

y = \frac{x ^{2}}{4} + \frac{c _{1}}{x ^{2}}

Popular Examples

integral from 0 to 1 of 9/(sqrt(x)(1+x))

\int_{0}^{1} \frac{9}{x ( 1 + x )} d x

(dy)/(dx)= x/y ,y(0)=-5

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 5

derivative of ln(1/(2x))

\frac{d}{d x} (ln (\frac{1}{2 x}))

derivative of ln(3^x)derivative of

ln (3^{x})

derivative of y=3e^xcos(x)derivative of

y = 3 e^{x} cos (x)

Frequently Asked Questions (FAQ)

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