### Math Notes

Subjects

#### Differential Equation Solutions

##### Topics || Problems

Find the general solution of the equation $$xy^3 dx +e^{x^2}dy =0$$

$$\frac{x dx}{e^{x^2}} + \frac{dy}{y^3} = 0$$

$$\int{\frac{x dx}{e^{x^2}}} +\int{ \frac{dy}{y^3}} = \int{0}$$

$$-\frac{e^{-x^2}}{2} - \frac{1}{2y^2} = c$$

$$e^{-x^2} +y^{-2} = c$$