Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Ordinary Differential Equations First order Differential Equation
The solution of the differential equation \(x \frac{d y}{d x}\) + y = x3y6 is : (where C is an arbitary constant)
1
\(y^{-5} x^{-5}=\frac{5}{2} x^{-2}+C\)
2
\(y^{-5} x^{-2}=\frac{5}{2} x^{-2}+C\)
3
\(y^{-5} x^{-5}=\frac{5}{2} x^{-5}+C\)
4
\(y^{-2} x^{-5}=\frac{5}{2} x^{-2}+c\)