Hello need help with these calc questions. Thanks

1) For what value(s) of m does e" satisfy the differential equation Y" - 4Y' - 21Y = 0 ? dy Y 2) Solve the differential equation dx dy =X + Y + 1; 3) Given dX YO = 1 estimate Y (1) using Euler's method with AX = 0.54) Find the orthogonal trajectories of the family of curves X2 + Y2 = R2 dy - X = XY2 5) Solve, given dX ; Y0 = 3