co 6(x – 2) + 3x = 4x +

Q: Find general solutions 17. y" - 4y = -12x² + 6x-4; 18. y"+y+y = -13 sin(2x);

A:

Q: Solve the equation using Exponential Shift (D² - 2D + 2) y = 12x³e²x O y = e (c! COSx + c2 sinx) +…

A: Answer is given.

Q: where co r= Cn Find the solution of x2y" + 5xy' + (4- 4x)y=0, x > - = 1. Enter = 1, 2, 3, ... n =…

A: Given differential equation is x2y''+5xy'+4-4xy=0                    (1)                Suppose,…

Q: 3. Determine the general solution. a) y"–2y' – 3y= e* b) y"+9y= cos x

A:

Q: 2. Find the general solution. а. у' + sec x у%3D cos x. b. y' +y =(e* - e-*). c. y' +=y. d. y' = .…

A:

Q: Solve the D.E 9+4y = Sec2X %3D

A:

Q: Find the solution. xy'- xy = 1- y, y(1) = 0 A y --(1 - el-) © y -1+ el+")

A: Solution of the differential equation

Q: solve the DE y'' - 5y' + 6y = 32xe2x, y(0) = 1, y'(0) = 0

A: *Concept:- the give differential equation is Linear differential equation of higher order with…

Q: y'" — 7y' — бу = 0

A: Solution :- This higher order differential equation can be solved simply by using complementary…

Q: Electrical Engineering 2-Show that the method x+1 =Xn 6 + converage to vā. %3D Iegimal I need the…

A:

Q: Find the General Solution of (D² + 5DD' +6D2)Z = 10 cos(x - y)

A:

Q: Find a real general solution x2y"+0.7xy′−0.1y=0

A:

Q: 3y"' + 2y" = 0. y(0)=-1,y'(0)=0,y"(0)=1 Solve this

A: First of all write the characteristic equation of given differential equation and solve it for…

Q: d?y dx3 Solve - 27y=0 O a. y = ce -3x + e7*(c2cos- 3/3 x+C3sin 3/3 -x) 2 Ob. OBy=c,e3x +e"(c,cos 33…

A: We have to solve given problem:

Q: B) Express Co5(2) in the form u+1 V

A: As per our guideline we are supposed to solve only one question you can repost other questions in…

Q: 1. 3(3x² + y²)dx – 2xydy = 0 -

A:

Q: Find the general solution of (xy² + x²)dy + a. 3xy + y3 = C b. 3xy - y3 = C xydx = 0 с. -Зху - уз с…

A:

Q: Q2/ solve :- +2y = Sin 3 X %3D u sing (D-operator methoD)

A:

Q: Solve (D2+9)y=cos 3x

A:

Q: Find two fundamental solutions x²y" + 4xy' + (2+x)y= 0,

A: We have to solve given problem:

Q: 3) Solve y"-4y't13y y0)=-l sy'co)= 2

A: The given differential equation is                                                     y''-4y'+13y=0…

Q: Using complexification, find the general solution of d²y dt2 dy +2- + 5y = 34 cos 2t. dt

A:

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A x = y-(1 + e'-*) B y = x-2(1 + el+x) © y = x-'(1 -…

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: Q2\A: By using partial method solve 2x² cos x dx

A: Given :∫2x3cosxdx

Q: Solve the nonhomogeneous ODE. x*y" – 2xy' + 2y = x?e-2x

A:

Q: Solve the given DE using 3 possible solutions: x³-2y³ 3.xy-2 ||

A:

Q: $] Solve y"-3y' = 2e* +5sin 2.x

A: We  have to solve the differential equation   y''-3y'=2e3x+5sin2xHere the homogeneous part  is…

Q: 2 cos(2x) = -V3 a)

A:

Q: Solve (1- x2)y" +2xy'-2y = 0 on (-1,1) given that y1 = x is a solution.

A: Let us consider the given differential equation P(x) y''+Q(x)y'+R(x)y=0 Then the solution of the…

Q: Obtain the general solution of the following: A. (D2 − 1)y = ex + 1 B. (D2 + 1)y = sec3x

A:

Q: 2. 2 Solve (D² +2DD' + D'² -- 2D– 2D')z =sin(x +2y)

A: Given the pde

Q: Find the particular solution 3у %3 х3 — 2ху; when x %3D1, у %3D1. = x 2xy; when x = 1, y = 1.

A:

Q: Solve for x and y simultaneously 6-2x = 6xy+7y²=0 and 3-2x-3y=0

A: The given equations are 6-2x=6xy+7y2=0 and 3-2x-3y=0 So from the 2nd equation we get x=-3y+32…

Q: Use variation of parameters to find yp of x²y" - 2xy' + 2 y = -12 x(1/2) given that yi = x and y2 x2…

A:

Q: Find the general solution of 2y"+3y+y=3sin.x+xe"

A:

Q: 2. Find the stability of the difference equation xn = Xn-1+¤n-2.

A: By theorem,            Let the 2nd order homogeneous differential equation is,…

Q: Solve the nonhomogeneous ODE. x²y" – 6xy' + 6y = x'e-3* %3D

A: We will first find the homogeneous solution. Then we will find the particular solution using the…

Q: 2x2y'' + 3xy' - y = 0 , x>0   y1(x)= x1/2 and y2(x)=x-1 Please verify that I have solution.

A: Differential equation.

Q: Find the general solution of y' = y sec x

A: Given, The differential equation y'=ysecx We have to find the general solution.

Q: A Find the general Solution of y"ty=2xcorx -Cosx %3D

A:

Q: Non Homogeneous LDE solve: (D2  +  D  -  2)y  =  2x  -  40 cos 2x

A:

Q: Solve: (D - 2)²y 8(e2x + sin2x + x2

A:

Q: Use any method to solve the particular solution (D² + 9)y = 81x² + 14 cos 4x ; when x = 0 y = 0 y' =…

A:

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

A:

Q: 7) y = -3 cos(3x) -2x 2n A) B) -2n 2n D) 2 -2n 2n

A: To identify the graph of the followings:

Q: Solve the simultaneous equations y = 1 + 3x – x2 and y = 3 – x graphically. %3D fom

A:

Q: Solve this nonlinear ODE. 4y" + (16+ x2 +)y = 0

A: