Find the general solution to  y''+ y' = 1 + 2sin(2t)

Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

A:

Q: Find the general solution of xy'-2y=2x^2lnx, x>0. write the answer explicitly

A:

Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: Determine all solutions. y'= (x-y + 3)²

A:

Q: Solve homogenous equation y'''' - 2y'' - 3y' - 2y = 0

A: Find the auxiliary equation and solve that

Q: Some mass of material is released at the point z = 0. At t> 0 the material density evolves according…

A:

Q: Find the general solution of * y" – 3y' + 2y = 2x – 9x? + 6x

A:

Q: Solve y'' − 4y' + 4y = 3e2t

A: Solve y'' − 4y' + 4y = 3e2t

Q: find the solution (4D^2-4D+1)y=0 when x=0, y=-2, y'=2

A:

Q: How do I solve for the third order y''' - 4y''-11y' + 30y = 4e^8t + t^2 using the method of…

A: For the given third order differential equation we need to determine the general solution which is…

Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

A:

Q: What is the special solution of the equation y0̅ ? y''' + 5y'' + 12y' + 8y =5sin2x +10x2 - 3x + 7

A: Find the attachment

Q: Find the general solution of the given DE 2xy^2 + 4 = 2(3-x^2y)y'

A:

Q: Find the general solution to x^2y'' + 4xy' - 10y = 0

A:

Q: Find the general solution of the DE: y’’’ - 4y’ = 32xe^2x - 24x^2

A:

Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

A:

Q: Solve z" + 2z" – 4z' – 8z = 0 -

A: We solve this question by simple techniques used to solve homogeneous differntial equation

Q: Find the particular solution to y''-y'+y = 2sin(3x)

A:

Q: Solve  y'' − 2y' + 5y = x2 + 1

A: Solution

Q: Solve y’’ – y’ + y = 2sin(3x)

A:

Q: y of Nizwa Find the particular solution : y" + 2y' +y = 2et (а) Ур = 2e-t (b) Yp = tet (c) Yp = tet…

A:

Q: Solve for y' 4xy+ y² 2x2 –2y

A: The objective is to solve y'=4xy+y22x2-2y. The equation can be written as, -4x+yy+2x2-2yy2y'=0 The…

Q: Solve x³y"+6x²y"+4xy' = 0.

A: