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Popular >

(ax+b)dy-y^2dx=0

Solution

(a x + b) d y - y^{2} d x = 0

Solution

y = - \frac{a}{ln ( b + a x ) + c _{1}}

Solution steps

(a x + b) d y - y^{2} d x = 0

Solve separable ODE:

y = - \frac{a}{ln ( b + a x ) + c _{1}}

y = - \frac{a}{ln ( b + a x ) + c _{1}}

Graph

Popular Examples

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\frac{d}{d x} (x y) = 4

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\frac{d y}{d x} = - \frac{5}{3} x^{3} y^{6}

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(dy)/(dt)+2(t+1)y^2=0,y(0)=-1/15

\frac{d y}{d t} + 2 (t + 1) y^{2} = 0, y (0) = - \frac{1}{15}

Frequently Asked Questions (FAQ)

What is the solution for (ax+b)dy-y^2dx=0 ?
The solution for (ax+b)dy-y^2dx=0 is y=-a/(ln(b+ax)+c_{1)}