dy The solution of the differential equation using Laplace transform - 10y = 12e5 is dt given that y(0) = 0 1 [e10t + e5] 10 sle [e10t +e 54] 5le (e104 +e] y = 15 15
dy The solution of the differential equation using Laplace transform - 10y = 12e5 is dt given that y(0) = 0 1 [e10t + e5] 10 sle [e10t +e 54] 5le (e104 +e] y = 15 15
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Laplace transform:
If f(t) represents some expression in t defined for t>0, the Laplace transform of f(t),
denoted by Lf(t) , is defined to be: Lf(t) = | e f(t)dt where s is a variable ( complex
variable)whose values are chosen so as to ensure that the semi-infinite integral converges.
Laplace Transform i.e. Lf(t) = F(s)
![dy
- 10y = 12e5 is
dt
The solution of the differential equation using Laplace transform
given that y(0) = 0
1
[e10t +e5]
10
sle
[e104 +e 54]
y =
y =
15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2f4a0d7-6b06-4023-badd-9db4c4cd8635%2Ffd9033d4-f9e8-446b-828e-b4f77ffaf7c1%2Fniyqrga_processed.jpeg&w=3840&q=75)
Transcribed Image Text:dy
- 10y = 12e5 is
dt
The solution of the differential equation using Laplace transform
given that y(0) = 0
1
[e10t +e5]
10
sle
[e104 +e 54]
y =
y =
15
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