f(x) = V3x + 1; a = 8 %3D

Q: 4 t2 – 4 dt -1

A: We have to find the integral using piecewise method.

Q: y" + 2y' +y = e-*

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the general solution of dy -2x6 dx y-4

A:

Q: Obtain the general solution y

A:

Q: Use variation of parameters to find a general solution: y(3) – 4y = et.

A: Given differential equation: y3-4y'=et         ...(1)

Q: particular

A: We find particular solution.

Q: 5. Solve xdx + ydy а? (хdу-ydx) x2+y2 using exact D.E method.

A:

Q: 2x1-x-4x₁x₂ = 0 -x + 2x3-4x₁x₂ +10x₁ = 5

A: We need to solve the following system of equations using a numerical method.…

Q: y'' - 6y' + 9y = x^-2(e^3x) using Methods of Variation of Parameters

A:

Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: 1) y = Vx -1

A: According to our guidelines we are suppose to do only one question . Kindly repost other question as…

Q: Find the general solution using variation of parameters. y" – 4y + 4y = (x + 1)e²"

A: Given differential equation is, y"-4y'+4y=x+1e2x The auxiliary equation is, m2-4m+4=0m-22=0m=2,2…

Q: use Separation of Variables to find the general solution. yy' = x

A:

Q: let x= et then by the chain rule d3x/dx3 equals

A:

Q: Find the equilibrium point. D(x) = 7- 8x, S(x) = 3 + 8x

A: Equilibrium point is the point at which demand and supply function intersects. That means at…

Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: Obtain the general solution. 1. y' = xy?

A: We will find out the required general solution.

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: Obtain the general solution. (xy + x) dx = 2 2 y + x + y¯ +

A: The given differential equation is…

Q: Evaluate VA-x2 4-x2-y2 (x² + y²) dz dy dx. -V4-x2 0.

A:

Q: Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+…

A:

Q: د؟ لر ول 3 y3 Xe dydx

A: We have to integrate the function fx, y=x3ey3 within the given limits of integration but the…

Q: y" - 2y' + 2y = e'cscx

A:

Q: Find the solution for: y' – x e = 0 using separation of variables.

A: Solution of differential equation

Q: |f(x) dx g(x) dx = 15, find / [3f(x) + 5g(x)] dx. If 28 and

A:

Q: The general solution of the DE: -y = 1 is y= x(x + c)

A: given,1xy'-1x2y=1multiplying throughout by x we gety'-1xy=xnow, integrating factor μ(x) is given…

Q: 2x d³y d'y dx³ dx² 2 = d²y_a². dx2

A:

Q: dx x(x2 + 1)2 3.

A:

Q: Find the general solution using the method of undetermined coefficients. dx +7x=8e° dt -41

A: Answer

Q: xy' – y = 2x lnx

A:

Q: y' +(E- 1)y ==

A:

Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

A:

Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

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Q: Obtain the general solution using variation of parameters. (D^2 − 1)y = e^x + 1

A:

Q: S sec 2ydy

A: Topic:- integration

Q: 1l y" + 4y' + 4y = e-2x %3D x2

A:

Q: ) Find the general solution of the DE y = (2+y')x+ (y')².

A:

Q: -3x2 F(x) = S*" t² dt %3D

A: TO EVALUATE THE FOLLOWING INTEGRAL F(x) ∫-x3x2 t2 dt FORMULA USED- ∫abxn dx = xn+1n+1 i.e substitue…

Q: 4-y² ²) dædy 2 2

A:

Q: What is the general solution of differantial equation?  Whicf of the options x² - y² + xy dy/dx =0

A:

Q: Vy² – 25 dy y3

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

A:

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

A:

Q: Find (a) E(X) (b) E (X²) (c) E [(X – 1)²]

A:

Q: Use variation of parameters to find a particular solution of y'' - Y = 4e-x 1-e-2x Yp (x) =

A: Solution of the differential equation, By using the method of Variation of perameters

Q: Y1 (x) = 8a + 2x; y2(x) = x In(bx); y3(x) = ca?.

A:

Q: Use variation of parameters to find the general solution of y" – 2y' + 5y = e'.

A:

Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0