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1. [5 Consider the IVP rty(t) + 2 sin(t)y(t) = tan(t) y(5)=2 Does a unique solution of the IVP exist? Do not solve the IVP bu
3. [10] Solve the IVP. Use any approach you like y(x) 6y(x) 25y(x))
4. [10 Use the Laplace Transform to solve the IVP. Consult the MATH 225 tables as required. (t) 5(t) 6y(t) y(0)= 0, y(0)=0
5. [5 Let y and y2 be solutions of the ODE ad suppose that W is the Wronskian of yi aid y2. Prove that W satisfies the ODE
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1. [5 Consider the IVP rty(t) + 2 sin(t)y(t) = tan(t) y(5)=2 Does a unique solution of the IVP exist? Do not solve the IVP but fully justify you answer. What is the IOE? 2. 4 Consider the ODE Using undetermined coefficients, what is an approprite guess for the coefficient (s) in yp but fully justify you answer. ? Do not solve for
3. [10] Solve the IVP. Use any approach you like y(x) 6y'(x) 25y(x))
4. [10 Use the Laplace Transform to solve the IVP. Consult the MATH 225 tables as required. "(t) 5(t) 6y(t) y(0)= 0, y'(0)=0 e41 -4t
5. [5 Let y and y2 be solutions of the ODE ad suppose that W is the Wronskian of yi aid y2. Prove that W satisfies the ODE
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Answer #1

Solution tasiaty tan (t) Nouu, Sinte tant Nee e have to Comparu it oth, ytrtly -3t), y (to)-3° ,then ,f plt) and act) au Contane 2 : The in lerat ohich Contain to -/u bus o es not Contain O i Aen eajuatien has auniua Solutron Note:_ ㅝ Per Cha, Îaguid

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