Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Numerical Methods Solutions of Differential Equations
The solution of the differential equation for \(\rm y(t):\frac{d^2y}{dt^2}-y=2\cosh(t)\) subject to the initial conditions \(\rm y(0)=0and \left.\frac{dy}{dt}\right|_{t=0}=0\) is
1
\(\rm \frac{1}{2}\cosh(t)+t\sinh(t)\)
2
-sinh (t) + t cosh (t)
3
t cosh (t)
4
t sinh (t)