[8 points.] Find the solutions for the following differential equations and initial value problems. If a...

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[8 points.] Find the solutions for the following differential equations and initial value problems. If a problem can be solved both by methods for linear equations and for separable equations, solve it both ways and compare the answers. (a) dy dt = 1³ - 2y t dy (b) t +ty=1-y, dt dy (c) t + 2y dt dy (d) +y= dt = sint 1 1+ et 7 y(1) = 0 y (2) = 1 [8 points.] Find the solutions for the following differential equations and initial value problems. If a problem can be solved both by methods for linear equations and for separable equations, solve it both ways and compare the answers. (a) dy dt = 1³ - 2y t dy (b) t +ty=1-y, dt dy (c) t + 2y dt dy (d) +y= dt = sint 1 1+ et 7 y(1) = 0 y (2) = 1

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