For y''+3y'+2y=e^-x, use the variation of parameters formula to find a particular solution. Show all work.

Q: How come it is 20y and not 20y^2/2 after integrating?

A:

Q: use appropriate substitution to solve differential equatio dy/dx-(2/x)y=-x^2y^3

A:

Q: first derivative y= 4in Gty) is dy 4.

A:

Q: Find the differential dy. y = 6x7 + 3x2

A: Given:y=6x7+3x2

Q: and dr= %3D Solve for the differential of y When y=sinxx x

A:

Q: Show that √(10x + 1) and √(x + 1) grow at the same rate asx→ ∞ by showing that they both grow at the…

A:

Q: Estimate the root very near x = 0.2 of 2(x*)* - 3(x*} + 1 = 0 using the Newton- Raphson Method with…

A:

Q: Please utilize Method of Variation of Parameters. Find the general solution: y" – 2y" + 4y' – 8y =…

A: We have the following third order linear non-homogeneous differential equation : y''' - 2y'' + 4y'…

Q: Solve for the differential of y when y=sinzx, x=-, and dx=- 3 2

A: Pi/4

Q: To apply the integration factor method, does the differential equation have to be linear?

A:

Q: If z = +3y, find the differential dz. dz =

A:

Q: the metrod of variation of parameters to Apply Solve my = Secnn dx2

A:

Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: We have given that in the basketball game ,the ball travels the path given by y=2.15+2.09x-0.41x2…

Q: dN + N = Ntet+2 dt

A:

Q: show Itat the differential equation メり dy - -2-ye" dx xーとリ Xe 29 its exact and find its Folution

A:

Q: (solve exact de) (2ysinxcosx - y + 2y²e*v¨ )dx = (x - sin'x - 4xye )dy

A:

Q: 2. Find dy/dx by implicit differentiation: 5x^2y+5y^2x=-3

A:

Q: solve the differential eq + 2x) dx = = (2y \1+x²y² |dy 1+x²y²

A: The given differential equation is: y1+x2y2+2xdx=2y-x1+x2y2dy

Q: y(4) + 8y″ + 16y = 0

A: Given, y4+8y''+16y=0

Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

A:

Q: An open cylindrical tank is to have an outside coating of thickness 2cm. If the inner radius is 6cm…

A:

Q: Find a double root of the equation f (x) = x' -x -x+1 = 0 by generalized New- ton's method.

A:

Q: The general antiderivative determined by - x² - 3x +2 is dx

A:

Q: √2xy dy/dx =1, given y=1 when x=1

A:

Q: Usually in a method of solution for Homogeneous DE, after the substitution of y = vx (or x = vy) and…

A: In the method of solution for homogeneous differential equation, The equation is of the form,…

Q: find the soution of' the differential eq. System X= 3X+44 9=X+3y %3D

A: Given differential equations are                                     dxdt=3x+4y,dydt=x+3y…

Q: Solve by Integrating Factor: y' = 1+3y cotx

A: The solution is given as

Q: Solve for the differential of y when y= sinzx. x= -, and dx 3 2 4

A: we have to solve the problem

Q: 2. Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a…

A: Given data: The work done is 2 J. The change in length is (42-30)=12 cm=0.12 m The expression for…

Q: Obtain the general solution using variation of parameter. (D² + 1)y= cotx

A:

Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

A:

Q: 4.3√√√7

A:

Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: Find the differential dy. y = cubic root of 3x^2

A:

Q: . Approximate the value of V65 by Newton-Raphson method letting xo = 5.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find2 of the parameters: x = sin 2t and y = - cost at t =

A: In this question, we need to find dydx. It is given that x = sin 2t and y = -cos t

Q: solve using homogenous and exact. (2x-3y)dx+(2y-3x)dy=0

A:

Q: dy Exc:" of y = tanh (x5 – 5x)² --

A: Solution:Given         y=tanh4(x5-5x)2  To find dydxFormula:ddx(xn)=nxn-1ddx(tanh x)=sech2x

Q: Solve for the differential of y when y=sinxx: x=-, and dx 3 2 2 2 4

A: y=sinπx, x=13, dx=12

Q: Find the serial solution of the differential

A: We have to find out the series solution of the differential equation y''-xy=0 at the neighborhood at…

Q: Solve using variaton of parameters or recuction of order (D²-2D+1)y = e" (e*+)²

A:

Q: 17. Show that V10x + 1 and Vx + 1 grow at the same rate_ as x→o by showing that they both grow at…

A:

Q: Solve for the differential of y when y=sinzx, 1 x=-, and dx =-. 3 2

A:

Q: 7. Solve by using an integrating factor. (a) y + 2ty = 2te-t. %3D

A:

Q: Find the general solution to the DE using the method of Variation of Parameters: у" — Зу" + Зу' — у…

A: The solution is given as

Q: -Find for: y= sinV1-t dx

A: We have to find dydx for y=sin-11-x4.

Q: ry' = 3y + y? ху

A: Solution of a nonlinear differential equation

Q: Find explict solution of the foilowing initial-value problem dy yoanx?, yla)of %3D dx

A:

Q: the width and length of rectangle are measure in cm as 6 and 18 respectively with an error of at…

A: