Need help determining if this is a separable de.
Need help figuring out if dy+y^(2)dx=5ydx is autonomous and if it is separable
ho Question 1 Solve the separable DE. dy zy dx = dạy2 + x2 + 3y2 +3 »(+4) *+1) = 20+C y2 +1 In = 26 +0 y? + In 26 In (*+1) ==+0
3)(10 points) Solve the following patially decoupled system. dc de = -xy dy = y - 1
Need help solving this DE assume x>0 dy doc +y = x ln x
LL L'Amazz de de dy= L*IL 4az dz dx dy = Edz dr de y Jv+y MMMMMM 0 = 02 = Evaluate the integral 4xz dz da dy =
Solve the separable differential equation (y2+2)dx+y(x+4)dy=0.
Question 14 (12 marks) Consider the following separable differential equation. dy cos(z)(-1) dr (a) Find any constant solutions of this differential equation and hence write down the solution with initial value y=- when r=7 (b) Use partial fractions to evaluate 1 dy. 1 (c) Use the method for solving separable differential equations to solve this DE in the case where y 0 when r T. You may assume that the solution does not cross the constant solutions you found in...
Solve the given initial-value problem. The DE is of the form dy dx = f(Ax + By + C). dy dx = 5x + 4y 5x + 4y + 4 , y(−1) = −1
I need help solving this DE by seperation of variables. dy хy + 2y —х — 2 ху — Зу + x -3 dx
(4) Solve each first order separable equation. (a) V (b) sin22:dy = sec2u dy Vry =sec" у dy r dx y