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Use separation of variables to provide implicit solutions to each differential equation. If an initial condition is provided, find the solution satisfying it. (a) dydx = 3x2 3y2−4, y(1) = 0 (c) dydx = (x−3)(y−5), y(4) = 5 (b) dydx = y2 x, y(1) = 2 (d) dydt = t2+et y1+y2

Use separation of variables to provide implicit solutions to each differential equation. If an initial condition is provided, find the solution satisfying it. (a) dydx = 3x2 3y2−4, y(1) = 0 (c) dydx = (x−3)(y−5), y(4) = 5 (b) dydx = y2 x, y(1) = 2 (d) dydt = t2+et y1+y2

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Use separation of variables to provide implicit solutions to each differential equation. If an initial condition is provided, find the solution satisfying it. (a) d y d x = 3 x 2 3 y 2 − 4 , y ( 1 ) = 0 (c) d y d x = ( x − 3 ) ( y − 5 ) , y ( 4 ) = 5 (b) d y d x = y 2 x , y ( 1 ) = 2 (d) d y d t = t 2 + e t y 1 + y 2

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