GATE Questions & Answers of Higher order linear differential equations

What is the Weightage of Higher order linear differential equations in GATE Exam?

Total 5 Questions have been asked from Higher order linear differential equations topic of Differential equations subject in previous GATE papers. Average marks 1.40.

If the characteristic equation of the differential equation

d2ydx2+2αdydx+y=0

has two equal roots, then the values of α are

If a and b are constants, the most general solution of the differential equation

d2xdt2+2dxdt+x=0 is

With initial values y(0)=y′(0)=1, the solution of the differential equation

d2ydx2+4dydx+4y=0

at x=1 is _____.

Consider the differential equation

d2ytdt2+2dytdt+yt=δt with y(t)t=0-=-2 and dydtt=0-=0

The numerical value of dydtt=0+ is

(A) –2 (B) –1 (C) 0 (D) 1

The order of the differential equation d2ydt2+dydt3+y4=e-t is