Solve the IVP. Present your final solution in explicit form. Show all work! 2y' + y = 2ty(0) = -1
Added by Shawn G.
Step 1
We can do this by using the integrating factor method. The integrating factor is e^(∫1/2 dt) = e^(1/2t). Multiplying both sides of the equation by this factor, we get: e^(1/2t)2𝑦′+e^(1/2t)𝑦=2𝑡e^(1/2t) Using the product rule, we can rewrite the left-hand side Show more…
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