Project ForgeEngineering Mathematics
Differential Equations
GATE 2016
Medium
What is the solution for d²y/dx²+y=0, with y|x=0=5 and dy/dx|x=0=10?
- Ay=5+10sinx
- By=5cosx−5sinx
- Cy=5cosx+10x
- y=5cosx+10sinx
Explanation
y=Acosx+Bsinx. y(0)=A=5. y'(0)=B=10. y=5cosx+10sinx.
Source: GATE CH 2016 (2016)
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