Which of the following is a solution of the differential equation xy' - 12y = x¹³e* ? O y =lnx Oy=x¹²e* O y = 13e-2x Oy- 14e2-15 sin 2x Oy = 12x¹32x

Q: Use undetermined coefficients to solve the differential equation y"" -y=e¹- x + 16.

A: We have given a differential equation ,  y''' - y = ex -x + 16 First we will find complementary…

Q: Is the following a homogenous differential equation? dy/dx = (x2y-y2x)/(x3-y3)

A: Let's find

Q: 4x y" - 4y = 2x

A:

Q: solve the differential equation. y' =3y(x + 1)2/y - 1

A:

Q: Solve the differential equation with the appropriate method. Finalize answer equated to y.…

A:

Q: Solve the differential equation (D² - 5D+4)y = (7x + e*}.

A: As you post multiple question, I only solve first one. D2-5D+4y=7x+e-x2 Auxiliary Equation:…

Q: Determine whether y = 2x is a solution of the differential equation y'= 6x², a. 6x2- and by'= 6r?…

A: Just take derivative of y and substitute in given differential equation and see if it satisfies the…

Q: а. (4x3 — 6ху^)dx + (4y- 6ху)dy %3D 0 b. 1 -(xdy- ydx)=0 x²+y? с. 1 (v²dx+x²dy)=0 (x2-у?) d. (x+y)dx…

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Q: solve the differential equation x2yy'=(y2-1)3/2

A: To solve the given differential equation :-

Q: y'-2y = y²; y = 3 when x = 0

A: A differential equation can be solved using the variable separation method. In this method, the…

Q: Solve the differential equation xy' = y + xe4y/x by making the change of variable v = y/x.

A: Differential equation

Q: y = Ae + Bxe* %3D

A: given  y=Aex+Bxex we have to form the differential equation .

Q: - Solve the differential equation: y" + y = secxtanx

A:

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

A: Variation of parameters

Q: Form the differential equation for the function x +2y = a sin3x - bcos3x а. Зу" - 18у %3D -9х O b.…

A: The second order differential equation for a function can be found by differentiating the function…