Solve the First Order Differential Equation using appropriate method. Show complete and detailed solution WITHOUT SHORTCUT. Indicate all variables being used. dy - (x-y+1)2dx = 0

Q: Find the solution of the given initial value problem in explicit form. () T sin(2x) dx + cos(9y) dy…

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Q: Solve the equation dy =- 3y + 5x, yci)=4 2

A: The general solution of the differential equation is, y = x³ + c/x² , where c is the constant of…

Q: Solve y" + (y')² = 0.

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Q: 2. Solve by separating variables and check y'= 4x³y with initial conditions_y(0) = 2…

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Q: Solve: y'-y= 2xe²*

A: The given differential equation is: y'-y=2xe2x To solve the given differential equation.

Q: Solve for y in two ways. y' - 5y = -3

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Q: Solve: x'y" - 2xy' + 2y =0 2_2)

A: Please refer to the image below

Q: Solve this equation dy_3-x-y dx x+y-l by using an appropriate substitution

A: The given differential equation is; dy/dx = (3-x-y) /(x+y-1)