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• ### Solve the given differential equation by separation of variables.

Solve the given differential equation by separation of variables. exy(dy/dx) = e-y + e-4x-y

• ### Solve the given differential equation by separation of variables. dy/dx = sin(9x)

Solve the given differential equation by separation of variables. dy/dx =  sin(9x)

• ### Solve the given differential equation by separation of variables. Solve the given differential equation by separation of variables. dP/dt= P-P2 Solve the given differential equation by separation of variables. dN/dt + N = Ntet+3 Solve the given differential equation by separation of variables. Find an explicit solution of the given initial-value problem.

• ### Solve the given differential equation by separation of variables.

Solve the given differential equation by separation of variables. (ey + 1)2e-y dx + (ex + 1)8e-x dy = 0

• ### Solve the given differential equation by separation of variables. dy Solve the given differential equation by separation of variables. dy

• ### Problem 4. Verify that the differential equation is exact then solve it! (4x + 2y)dx +... Problem 4. Verify that the differential equation is exact then solve it! (4x + 2y)dx + (2x + 4y)dy = 0 Answer:

• ### Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5... Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5 Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5

• ### Solve the following partial differential equation using separation of variables method to determine the function 0... Solve the following partial differential equation using separation of variables method to determine the function 0 (x,t). Simplify the solution using Fourier series method. 2²0 2²0 (30 marks) Ox² at is Where: (x,0) = 0 0(0,t) = 0.21 0<t< 20 Q(x,20) = 0 do(0,1)= (1 - 2t) dx = (1-21)

• ### 2. Solve the differential equation (2xy + y)dx + (x2 + 3.ry2 – 2y)dy = 0.... 2. Solve the differential equation (2xy + y)dx + (x2 + 3.ry2 – 2y)dy = 0. Answer: x²y + xy3 – y2 = C.

• ### of 3. Solve the differential equation y de + - dx +(2y Inx - 3sin (3y))... of 3. Solve the differential equation y de + - dx +(2y Inx - 3sin (3y)) dy = 0.