Solve the following initial value problem using the laplace transformation: y′′+4y=0 y_0=c_1,y′(0)=c_2

Tara Mayer

Tara Mayer

Answered question

2022-10-22

Solve the following initial value problem using the laplace transformation:
y + 4 y = 0
y 0 = c 1 , y ( 0 ) = c 2
I have taken the laplace transform of both sides, then rearranged it, then subbed in y 0 and y but now I'm stuck on the reverse laplace transform bit... any help would be great.
Where I'm stuck. Getting y(t) from:
Y ( s ) = s c 1 + c 2 4 + s 2

Answer & Explanation

Hamnetmj

Hamnetmj

Beginner2022-10-23Added 21 answers

Hint:
Y ( s ) = s c 1 + c 2 4 + s 2 = s c 1 4 + s 2 + c 2 4 + s 2

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