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Popular Calculus >

(1+xy)dx+x^2dy=0

Solution

(1 + x y) d x + x^{2} d y = 0

Solution

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

Solution steps

(1 + x y) d x + x^{2} d y = 0

Solve linear ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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