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1. (25 points for each part). Solve the following differential equations. dy a. IT ty=ed, x>0. b. ry' + 3y = sing I' c. (a+1)2

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1. (25 points for each part). Solve the following differential equations. dy a. IT ty=ed, x>0. b. ry' + 3y = sing I' c. (a+1)2 -2(c'+x)y = = where > > -1 and y(0) = 5. 2. (25 points) Find the equation of the tangent line to the parametric curve given by 1 t+1' y= 1 - 1 for t = 2

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