Teaching UP PGT Mock Test Series 2024 Mathematics Differential Equations Formation of a Differential Equation
The differential equation of the family of curves y = Ae3x + Be5x, where A and B are arbitrary constants, is
1
\(\frac{d^2y}{dx^2}+8\frac{dy}{dx}+15y=0\)
2
\(\frac{d^2y}{dx^2}-8\frac{dy}{dx}+15y=0\)
3
\(\frac{d^2y}{dx^2}-\frac{dy}{dx}+y=0\)
4
None of these