Mathematics - Differential Equation Question with Solution | TestHub

$\frac{dy}{dx}-f(x)\cdot y=0$

$\frac{dy}{y}=f(x)dx$

$\ln y=\int f(x)dx$

$y_1(x)=e^{\int f(x)dx}$ Then for given equation I.F $=e^{\int f(x)dx}$

Hence Solution $y\cdot y_1(x)=\int r(x)\cdot y_1(x)dx$

$y=\frac{1}{y_1(x)}\int r(x)\cdot y_1(x)dx$