Question

Solve the initial value problem using Laplace transform theory.

y”-2y’+10y*=24**t**, *
*y(**0)**=0, *
*y**'(**0)**= -1*

Answer #1

Use the Laplace transform to solve the given initial-value
problem.
y'' + 10y' +
41y = δ(t −
π) + δ(t −
7π), y(0) =
1, y'(0) = 0

Use Laplace transform to solve the following initial value
problem: y '' − 2y '+ 2y = e −t , y(0) = 0 and y ' (0) =
1
differential eq

Solve the following initial value problem using Laplace
transform
y"+2y'+y=4cos(2t) When y(0)=0 y'(0)=2
Thankyou

Differential Equations: Use the Laplace transform to solve the
given initial value problem:
y′′ −2y′ +2y=cost;
y(0)=1,
y′(0)=0

Use the Laplace transform to solve the given initial value
problem.
y′′−2y′−143y=0; y(0)=8, y′(0)= 32
Enclose arguments of functions in parentheses. For example,
sin(2x).

How to use laplace transform to solve the following
problem ?
y'' - 10y' +9y = 5t , given y(0)=-1, y'(0)=2

use the laplace transform to solve the initial value problem:
y"+4y=4t, y(0)=1, y'(0)=0

solve using the laplace transform y''-2y'+y=e^-t , y(0)=0 ,
y'(0)=1

y^''-y^'-2y= e^t , y(0)=0 and y^'(0)=1
Solve by using laplace transform

Solve listed initial value problems by using the Laplace
Transform:
4. yll
− yl − 2y =
2
e−2t y(0)
= 1, yl(0) = −3

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