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Popular >

xy^'=x^2+3y

Solution

x y^{^{'}} = x^{2} + 3 y

Solution

y = - x^{2} + c_{1} x^{3}

Solution steps

x y^{'} (x) = x^{2} + 3 y

Solve linear ODE:

y = - x^{2} + c_{1} x^{3}

y = - x^{2} + c_{1} x^{3}

Graph

Popular Examples

integral of (1-2x)^5

\int (1 - 2 x)^{5} d x

area y=e^x,y=7e^{-x},x=0 area

y = e^{x}, y = 7 e^{- x}, x = 0

integral of ln(x+sqrt(x^2-1))

\int ln (x + x^{2} - 1) d x

y^'=-100y+101cos(t)+99sin(t),y(0)=1

y^{^{'}} = - 100 y + 101 cos (t) + 99 sin (t), y (0) = 1

integral of (1/x-2/(9x^2+1))

\int (\frac{1}{x} - \frac{2}{9 x ^{2} + 1}) d x

Frequently Asked Questions (FAQ)

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