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Popular >

xy^2y^'=x+10

Solution

x y^{2} y^{^{'}} = x + 10

Solution

y = 3 3 x + 30 ln (x) + c_{1}

Solution steps

x y^{2} y^{'} (x) = x + 10

Solve separable ODE:

y = 3 3 x + 30 ln (x) + c_{1}

y = 3 3 x + 30 ln (x) + c_{1}

Graph

Popular Examples

(dy}{dx}=\frac{3e^x)/y

\frac{d y}{d x} = \frac{3 e ^{x}}{y}

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

(dy)/(dx)-2/x y-1/(xy)=0

\frac{d y}{d x} - \frac{2}{x} y - \frac{1}{x y} = 0

(dy)/(dt)=0.1y,y(0)=600,t=5

\frac{d y}{d t} = 0.1 y, y (0) = 600, t = 5

sin(3x)dx+4ycos^2(3x)dy=0

sin (3 x) d x + 4 y cos^{2} (3 x) d y = 0

Frequently Asked Questions (FAQ)

What is the solution for xy^2y^'=x+10 ?
The solution for xy^2y^'=x+10 is y=\sqrt[3]{3x+30ln(x)+c_{1}}