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3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) f...

3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piece

3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i, where f(t)-〈0 otherwise. (b) z', +x-f(t), x(0) 0, z'(0)=1, where t/2 if 0 t
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otherwise 2 ST st 727 TT S Nou, diff. 込 Tahe Loplace transform we ST S 2 7TS er e-2 χ(s ) ( s2 +25+1) e-TS e-27TS -1 - x(s) -Stリ2 New s(A+b)+S(2A+ B+ C) A 2 St 1 (51) te-t ut-T S(St1)and LSeL -(t-2が ut-2丌 (Stl)2. -(t-ア)

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3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) f...
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