4. Solve the following first-order linear differential equations: a. dy + 5y = 15 dt b. dy + 2ty = 0 dt C. dy +
4. Solve the following first-order linear differential equations: a. dy + 5y = 15 dt b. dy + 2ty = 0 dt C. dy + y = t dt 5. Verify that each of the following differential equations is exact: a. 2yt' dy + 3y t dt = 0 b. 3y't dy + (y3 + 2t) dt = 0 c. t(1 + 2y)dy + y(1 + y)dt = 0
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