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inysia [295]
3 years ago
14

Find the steady periodic solution to the differential equation x′′+2x′+64x=7sin(7t) in the form xsp(t)=ccos(ωt−α), with c > 0

and 0≤α<2π.
Mathematics
1 answer:
Musya8 [376]3 years ago
7 0
45265 I really hope thus helps a lot 


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Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any
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Answer:

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Compare with

y'+P(x) y=Q(x)

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I.F=e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}

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y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C

y(x)=4+\frac{C}{\sqrt{x^2+10}}

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