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Popular >

y^'+3/x y=x^2y^2

Solution

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

Solution

y = \frac{1}{x ^{3} ( - ln ( x ) + c _{1} )}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{1}{x ^{3} ( - ln ( x ) + c _{1} )}

y = \frac{1}{x ^{3} ( - ln ( x ) + c _{1} )}

Popular Examples

(\partial)/(\partial x)(e^{3x}cos(2x))

\frac{\partial}{\partial x} (e^{3 x} cos (2 x))

integral of 1/(x^4)

\int \frac{1}{x ^{4}} d x

derivative of (x^2/(1+x))

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

derivative of 5/(x+1)derivative of

\frac{5}{x + 1}

derivative of sec(sqrt(x))

\frac{d}{d x} (sec (x))

Frequently Asked Questions (FAQ)

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