Using Laplace transform to solve the IVP: y" - 7y=e5t, y(0) = 0, y'(0) = 0, then, we have Select one: y(t) = £¯¹ { - 3 Ը 1 $35s2 +7s - 35 O None of these. 1 y(t) = L−¹ s3 + 5s² + 7s + 35 1 y(r) = C¹ {3²) +-55²-78-35} L−1 ; 53 y(t) = 2-1 1 {53-58²-75 +35}

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 32E
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Using Laplace transform to solve the IVP:
y" - 7y=e-st,
then, we have
Select one:
y(t) = L− ¹ {
O None of these.
O
y(t) = L-¹
1
{5³ - 58² + 75-35}
y(0) = 0, y'(0) = 0,
{ ₁³ +
{\
S3
Give your reasons
1
+ 5s² + 7s + 35
1
y(t) = L-1 {5³+ 55² - 75 -35
5s²7s
1
y(t) = L− ¹ {
;}
$35s²7s + 35
Transcribed Image Text:Using Laplace transform to solve the IVP: y" - 7y=e-st, then, we have Select one: y(t) = L− ¹ { O None of these. O y(t) = L-¹ 1 {5³ - 58² + 75-35} y(0) = 0, y'(0) = 0, { ₁³ + {\ S3 Give your reasons 1 + 5s² + 7s + 35 1 y(t) = L-1 {5³+ 55² - 75 -35 5s²7s 1 y(t) = L− ¹ { ;} $35s²7s + 35
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