Solve the following 2nd order ordinary differential equation using FDM method dy dx y(0) = = 1.0 and y(2) = 8 d²y dx² +x - xy = 2x, use Ax = 0.5

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Q: : xydx - (x + 2y)2 dy = 0

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Q: dy 3 1 +-y = 27y3 Inx, x > 0 dx

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Q: Determine the solution of the 1st Ordered Differential Equation: (x - y)(4x + y)dx + x(5x - y)dy = 0

A: We have to solve given problem:

Q: Solve the differential equation (yºz) y = 1 + x. dy Use the initial condition y(1) = 4. Express y¹0…

A: The given differential equation is                                                     y9xdydx=1+x…

Q: Solve the differential equation by variable seperable method  (ey+1)cosxdx+eysinxdy=0

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Q: Solve the differential equation: dy/dx=cos(x+y) when x=0, and y=pi/4

A: Solve the differential equation, using substitution method

Q: Solve the differential equation by variation of parameters. y(x) = y" 16y= 16x 4x est

A: Variation of parameters

Q: Solve the following the exact differential equation : (3x^2y-6x)dx+(x^3+2y)dy=

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Q: (군2-1) 을 + 2y3 (+ 1)°

A: Given ODE : (x2-1)dydx+2y=(x+1)2 ⇒dydx+2yx2-1=(x+1)2x2-1⇒dydx+2yx2-1=x+1x-1 Which Linear…

Q: (1) Solve by using Homogenous differential equation method: 4- dy dx = 4y Ꮖ + tan(

A: We have to solve the following differential equation using Homogeneous differential equation…

Q: Solve the differential equation dx+ xydy = y²dx+ ydy

A: Given equation is: dx+xydy=y2dx+ydy