Solve the following differential equation: `5(dy)/(dx)=e^x y^4`

Explanation

`5 frac{d y}{d x}=e^{x} y^{4} `


`Rightarrow frac{5}{y^{4}} d y=e^{x} d x`


Integrate both sides


`int frac{5}{y^{4}} d y=int e^{x} d x `


`Rightarrow frac{-5}{3 y^{3}}=e^{x}+C`


Hence, required answer is


`frac{-5}{3 y^{3}}=e^{x}+C`