Consider the spring-mass system (from Problem 0.1." + 10x = 3 cos(wt) (a) For which value of w does resonance occur? (b) Solve for x (t) using your value of w from (a)

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A: this can be solved by separation of variable.

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Q: 3. Consider the following system of differential equations: where y(0) = Find the solution of the…

A: 3. We have  y˙=01-12y+04ex       y(0)=3-2x˙y˙=01-12xy+04exx˙=yy˙=-x+2y+4exlet  L(x)=F(s)…

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A: Given:  To compute Wronskian of x1=cos(t) and x2=1   Definition: Wronskian of x1, x2 is computed as…