EVALUATE The following problems are given to assess your ability to solve for the solution of first - order differential equations Instructions: Solve for what is asked in each problem. Refer to the format and guidelines presented in the Assignment Guide. Obtain the solution of the following differential equations. 1. 2x(y + 1) dx - ydy = 0 when x = 0, y = -2 2. y' = cos'x cosy 3. (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1, -3) 4. (cos 2y - 3x2y?)dx + (cos 2y - 2x sin2y - 2x3y)dy = 0 5. (1 - xy) 2dx+ [y2 + x2(1 - xy)-2]dy = 0 6. (y - cos x) dx + cos x dy = 0 7. L - + Ri = E, where L, R, and E are constants when t = 0, i = 0 dt