Solve the following differential equations \(\frac{dy}{dx}+y=5\)Solution: \(\frac{dy}{dx}+y=5\)Given equation is a linear differential equation.Here \(P=\)[ ] \(Q=5\)\(\therefore\) I.F. \(=e^{\int p\,dx}\)\(\therefore\) I.F. \(=\)[ ]The solution of g…
Q.3 (C) (ii) Solve the following differential equations \(\frac{dy}{dx}+y=5\)
Solution: \(\frac{dy}{dx}+y=5\)
Given equation is a linear differential equation.
Here \(P=\)[ ] \(Q=5\)
\(\therefore\) I.F. \(=e^{\int p\,dx}\)
\(\therefore\) I.F. \(=\)[ ]
The solution of given linear differential equation is
By formula [ ]
\(\therefore y\cdot e^x=\int 5\cdot e^x\,dx+c\)
\(\therefore\) [ ]