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Differential Equation Calculator

Solve differential equations

The calculator will try to find the solution of the given ODE: first-order, second-order, nth-order, separable, linear, exact, Bernoulli, homogeneous, or inhomogeneous.

Initial conditions are also supported.

Enter an equation (and, optionally, the initial conditions):
For example, y''(x)+25y(x)=0, y(0)=1, y'(0)=2.
Write instead of , instead of , etc.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Your input: solve - x^{3} y{\left(x \right)} + \frac{y ' \left(x \right)}{\ln{\left(x \right)}} = 0

Answer

y{\left(x \right)} = C_{1} e^{\frac{x^{4} \left(4 \ln{\left(\left|{x}\right| \right)} - 1\right)}{16}}