Engineering Board Exam Reviewer · Second-Order Linear Homogeneous Equations · medium

Solve y''+4y=0 with y(0)=1 and y'(0)=2, and find y≤ft( π4 ).

1. 1
2. 2
3. 0
4. 1.41

Answer

A. 1

Solution

y=C1 2x+C2 2x. y(0)=1 C1=1; y'(0)=2C2=2 C2=1. So y= 2x+ 2x and y≤ft( π4 )=0+1=1.

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