Solve the given differential equation by using an appropriate substitution. The DE is of the form = f(Ax + By + C), which is given in (5) of Section 2.5. dx dy = (x + y + 1)2 dx

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Q: (2xy + x)dy – [x² + y² + y + 1]dx = 0 When:x = 1; y = 0

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Q: Solve the given differential equation by using an appropriate substitution. The DE is of the form =…

A: We solve the given differential equation by the substitution of x+y=u and then proceed further as in…

Q: Solve the Differential Equation (D² – 4D +3)y = sin 3x. %3D

A: We can solve the given problem using CF and particular solution.

Q: dy Solve the given differential equation by using an appropriate substitution. The DE is of the form…

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Q: Solve the differential equation by separating the variables.   dydx=sin(x+y)−cos(x+y)

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Q: dy 1 dr 25 Cos(x)=0 y(0)=1_y(x)=

A: Given differential equationLets use method of separation of variable to solve it.

Q: The complementary function(C.F.) of the differential equation(D- 4) y = cos 4r is O (Ci +c21+ czz2)e…

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Q: Solve the differential equation when = 5(10 – P) if P = 2 when t = 0.

A: Solving the problem by solving the diff equation.

Q: solve the equation using differential equation linear in x and y: (2x-3y-5)dx + (3x-y-2)dy = 0;…

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Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: -dy x + 3y²/x2 + 1- = 0, dx y(0) = 1

A: The given differential equation is a variable seperable equation which can be solved as shown...