This comes from the textbook Differential Equations/Linear Algebra 4th edition.

. . . dy a: Solve the differential equation E _ y- 3. Find an implicit solution and put your answer in the following form: ,9; = constant. help (formulas) b. Find the equation of the solution through the point (any) : (6, 1). c. Find the equation of the solution through the point (:1:1 y) = (O, 4). Your answer should be of the form 3; : x). Find the equation of the solution to dy = x y through the point (x, y) = (1, 2). help (equations)Solve the separable differential equation for u Use the Following initial condition: 11(0) : 6. tr. : f Find the solution to the differential equation dy = y? (1 + t ), dt y = 3 when t = 1. y =Find the solution to the differential equation Subject to the initial conditions y(0] = 16. y: 59" v Find the Solution to the differential equation that passes through the origin. 2:, #7, Solve % = (y 1)(y+ 1) ifthe solution passes through the point [3,3,0 : [11 0). Graph the solution. y(:i:) : .44: help (formulas) Solve the initial value problem y' = 7y sinc, y(0) = 7. y =Solve dy dt = ytant, using separation of variables given the inital condition y(0) = 16. Assume the function is defined for -7/2 G, and use the initial condition :(1) : 2. z: 5