y" – 2y' + y = -3 - x+x².

Q: dt = 8x - x² Identify the equilibrium points Determine if the equilibrium points are stable or…

A: Since you have posted a question with multiple sub parts, we will solve the first four sub parts for…

Q: Form the differential equation for the function y = acos(2x + b)

A: By finding first and second derivatives of function we form the required differential equation as…

Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

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Q: (3x* – 1)y=x- Zx° †X 2. Find the differential equation of all straight lines at 2- unit distance…

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Q: (16x y² exy + y sec² (xy) - 2x + 3y) + (16x² y e4xy + x sec² (xy) + 3x)y' = 5

A: Let us consider the equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution of the…

Q: Show complete solution Obtain the differential equation associated with y=Ae2x+Be2x+Ce3x

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Q: Obtain the differential equation having the solution as the equation representing all parabolas with…

A: The equation of parabola with vertex and focus on the x-axis is given by, y2=4ax…

Q: (3x²y+2e²y+3)dx + (x³ +4xe²y-sech² y+2lny)dy-0

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Q: 5. A differential equation is if it can be written in the form f(y)d(y) = g(x)d(x)-

A: A differential equation is ORDINARY if it can be  Written in the form f(y)dy = g(x) dx .

Q: The logistic equation is the autonomous differential equation: dN =r· N [ 1 dt (1-#) K Where r and K…

A: Solution for (1 a): When N is much smaller than K, the fraction NK is negligible, as it will be much…

Q: y' = 32 + y = 4.x – 4 It is known that the differential equation has a Y1 = a.x +b special solution…

A: Given that : y' =3yx+y2xRewriting the equation in the form of first seperable ODE,y' =3yx+y2x1yy+3y'…

Q: + 28 dy dx2 + 612+ 37y = 0 dx3 dx

A: This question is related to diffential equation.

Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential…

Q: Find its differential equations with solutions

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