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Winter 2014 MAT16C25 January 2014Short Calculus IIIPractice Midterm Exam 1 SolutionsInstructor: Dr. Kei Nakamura1. Solve the following differential equations explicitly.(a)y0=xex(b)y0=x/y.Ry dy=Rx dx⇒y(c)y0=y2-1.2-1⇒1R1Rdx.By the partialfraction method, we have1