1
GATE CE 2002
Subjective
+2
-0
Using Laplace transforms, solve $${a \over {{s^2} - {a^2}}}\,\,\left( {{d^2}y/d{t^2}} \right) + 4y = 12t\,\,$$
given that $$y=0$$ and $$dy/dt=9$$ at $$t=0$$
2
GATE CE 2000
MCQ (Single Correct Answer)
+2
-0.6
Let $$F\left( s \right) = L\left[ {f\left( t \right)} \right]$$ denote the Laplace transform of the function $$f(t)$$. Which of the following statements is correct?
A
GATE CE 2000 Engineering Mathematics - Transform Theory Question 11 English Option 1
B
GATE CE 2000 Engineering Mathematics - Transform Theory Question 11 English Option 2
C
GATE CE 2000 Engineering Mathematics - Transform Theory Question 11 English Option 3
D
GATE CE 2000 Engineering Mathematics - Transform Theory Question 11 English Option 4
3
GATE CE 1996
Subjective
+2
-0
Using Laplace transform, solve the initial value problem $$9{y^{11}} - 6{y^1} + y = 0$$
$$y\left( 0 \right) = 3$$ and $${y^1}\left( 0 \right) = 1,$$ where prime denotes derivative with respect to $$t.$$
GATE CE Subjects
Fluid Mechanics and Hydraulic Machines
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Medical
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CBSE
Class 12