Aerospace Engineering > GATE 2021 > Differential Equations
Consider the differential equation and the boundary conditions
d2y/dx2 + 8(dy/dx) + 16y = 0, y(0) = 1 and dy/dx(0) = 0.
The solution to this equation is: _______.
A
y = (1 + 2x)e-4x
B
y = (1 - 4x)e-4x
C
y = (1 + 8x)e-4x
D
y = (1 + 4x)e-4x

Correct : d

Similar Questions

Consider the differential equation with initial conditions y = 0 and dy/dx = 1 at x = 1. The value of y at x = 2 is _______. (round off to two decimal place...
#127 Fill in the Blanks
Consider the differential equation d2y/dx2 - 2(dy/dx) + y = 0. The boundary conditions are y = 0 and dy/dx = 1 at x = 0. Then the value of y at x = 1/2 is _____...
#175 MCQ
The curve y = f(x) is such that its slope is equal to y2 for all real x. If the curve passes through (1, -1), the value of y at x = -2 is _______ (round off to...
#289 Fill in the Blanks

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......