What is the solution for (dy)/((y^2+0.6y))= 1/x dx ?

The solution for (dy)/((y^2+0.6y))= 1/x dx is y=(0.6e^{0.6c_{1}}x^{0.6})/(1-e^{0.6c_{1)}x^{0.6}}

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(dy)/((y^2+0.6y))= 1/x dx

\frac{d y}{( y ^{2} + 0.6 y )} = \frac{1}{x} d x

y = \frac{0.6 e ^{0.6 c_{1}} x ^{0.6}}{1 - e ^{0.6 c_{1}} x ^{0.6}}

Solution steps

\frac{d y}{( y ^{2} + 0.6 y )} = \frac{1}{x} d x

Solve separable ODE:

y = \frac{0.6 e ^{0.6 c_{1}} x ^{0.6}}{1 - e ^{0.6 c_{1}} x ^{0.6}}

y = \frac{0.6 e ^{0.6 c_{1}} x ^{0.6}}{1 - e ^{0.6 c_{1}} x ^{0.6}}

What is the solution for (dy)/((y^2+0.6y))= 1/x dx ?
The solution for (dy)/((y^2+0.6y))= 1/x dx is y=(0.6e^{0.6c_{1}}x^{0.6})/(1-e^{0.6c_{1)}x^{0.6}}