\(\displaystyle{ 2y^3 dy=5^x dx}\)
\(\displaystyle{ \int 2y^3 dy=\int 5^x dx}\)
\(\displaystyle{ 2\cdot\frac{1}{4}y^4=\frac{5^x}{\ln 5}+C}\)
\(\displaystyle{ \frac{1}{2}y^4=\frac{5^x}{\ln 5}+C\ \Bigg| \cdot 2}\)
\(\displaystyle{ y^{4}=2\cdot\frac{5^x}{\ln 5}+C}\)
\(\displaystyle{ y=\pm\sqrt[4]{2\cdot\frac{5^x}{\ln 5}+C}}\)
