1. Find homogenous solution of the following rule. 2. Find complementary solution of x (Xp) using I

Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

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Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y

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Q: Consider the following IVP: y'' -10y' +9y = 5t, y(0) = -1, y'(0) = 2

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Q: 3. For what values of to and ro does the IVP: x' = 2/r, x(t.) = xo, have a unique solution?

A: Given: The initial value problem x'=2x, xt0=x0

Q: Find the solution to the IVP.y = cscx – ycotx' y(÷)= 1 ysinx = x+ 2 ysinx = x + 1- I 2 ycscx = x +…

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Q: Find the general solution of the following DE in explicit form. y' =2+2/y-2x+11

A: Solution: The differential equation is y'=2+2y-2x+11 Suppose that v=-2x+y so that y=v+2x Then,…

Q: Consider the following IVP: y"-3y'+2y = e*; y(0) = 0, y'(0) = 0 Find the general solution.

A: We solve the given DE  y"-3y'+2y=e3t.......(1) y(0)=y'(0)=0......(2)

Q: Find the general solution of the following DE in explicit form. y'=2+2y-2x +8

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The solution of y2 – x²y' = 0 with IVP (1)= . is given by y(x) = 1+x 1 y(x) = 1+x 1 y(x) = 1+ x2 (x)…

A: Given initial value problem y2-x2y'=0    ; y(1)=12

Q: Find the general solution or particular solution of each of the following D [1+ ytan(xy)]+…

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Q: : Discuss the existence and unique solution for the IVP y'= 3y3, y (0)=0

A: This question is related to Differential Equations

Q: 1-Use Euler's method to approximate the solution of the following initial value problem fy =…

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Q: 7. Find the solutions to the following difference equations and study their stability both…

A: Given: The difference equations

Q: Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. A 5t…

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Q: Suppose that z'y"+ azy' + by = 0 has the general solution of the following form: y = C23 + C,r³ In…

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Q: 4(a)Verify that the equation y = In x- Iny is an implicit solution of the IVP, ydx = x(y + 1)dy Y(e)…

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Q: Is y(x) = C1sin2x + C2cos2x, where C1 and C2 are arbitrary constants, a solution of y” + 4y = 0?

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Q: 19. Show that yı = 1 and y2 = /x are solutions of yy" + (y')² = 0, but that their sum y = y1 + y2 is…

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Q: 7. Given that y, (x) = e2 is a solution of y"-4y +4y =0 Find a second solution y,(x) on the interval…

A: General solution procedure :     let us now consider a general homogeneous linear differential…

Q: Find a particular solution of (20) y′′−3y′−4y=2e−t.

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Q: Find the general solution of the following DE in explicit form. y'=2+2/y-2x +7

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 19. Find the complete solution of the following PDES: (i) (D² + 3DD' + 2D²)u = x + y

A: NOTE: You have posted multiple questions, we have solved the first question for you, if there is a…

Q: Q2\ Find the general solution to the given Euler x2y" – 3xy' + 9y = 0

A: Explanation of the solution is given below...

Q: Find a particular solution for: y" - 3y' + 2y = te*

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Q: Find a particular solution to y" + 6y' + 9y = 3z e

A: We use the method of variation of parameters to find the particular solution to the given…

Q: The general solution to: y'' – y' + 4y = 0 %3D is: y(x) = %3D Typle c_1 and c_2 to get c1 and c2 and…

A: We have to find the solution

Q: Q1 : Find the solution of x, y, z by using Gramer's Rule. 3x + 2y – z = 1 x - y + 5z = -2 2x + y = 3

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: у" + 2y' + 3у 3D 0

A: We need to find the general solution of the differential equation y''+2y'+3y=0

Q: 2) Given that y = x and y = eª are solutions to the DE (1 – x)y" + xy – y = 0 on (1, 0), use…

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Q: 6 6 Q1. Verify that y -20t e is a solution of the DE y' + 20y = 24

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Q: Use separation of variables method to find the solution to the following IBVP: Uu (x, t) = c? uzx…

A: In method of separation of variables we put the dependent variable as a multiplication of two…

Q: Find the particular solution of y' = x^3 - 2xy when x = 1, = 1. O 2y = (x + 3)^0.5 In(2x+3) O 2y =…

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Q: Find a general solution for the Cauchy Euler equation t2y''+7ty'+9y=0 if t>0.

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Q: The Wronskian of the two solutions of t*y" - 21°y'-t®y=0 is ct?. Select one: O True O False

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Q: 8. Obtain the particular Solution by satisfying the conditions indicated. y' = x exp (y - x²); when…

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Q: Consider the following IVP: y'' -3y' -10y = 1, y(0) = -1, y'(0) = 2

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Q: Find the general solution of the DE below. y(1) + y “ + y“ = 0 יינ

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Q: Show every step, and every rule. y = ((1)/x^2+C)) is a one-parameter siblings of solutions of: y' +…

A: The general form of a first-order differential equation is given by dydx=f(x,y). The solution of the…

Q: 5. Find the particular solution of x²y' – 2xy = x* + 3; where y = 2 and x = 1

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

Q: 3. Find the general solution of the following DE. y' = 3 (y + 1) O y = ce³x - 1 3y = ce³x - 1 Oy =…

A: Use variable separable to Solve this problem.

Q: (b) Find the general solution of: = yx² - xy ax Given z = y when x=1, determine the particular…

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Q: Find the general solution of the DE below. y(5) + 5y(4) – 2y“* – 10y“+ y' + 5y = 0

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Q: 2.40 Solve the following problem for x (t) and y(t): x = -2x + 5y y = -6y - 4x + 10us (1) x(0)=5…

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Q: Find the general solution. 6y(4) + 7y" – 12y" – 3y' + 2y = 0 SHOW WORK.

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Q: 3- Prove that y=x is a solution of (x³ + 2x?)y"+ 2xy'- 2y = 0 and hence find the general

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Q: 7. Find the solutions to the following difference equations and study their stability both…

A: Given: The difference equation:

Q: 10. Find the particular solution that satisfies the initial condition. xy'+ 2y = 3x² – 5x. Initial…

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Q: 5. Find the particular solution of x²y' – 2xy = x* + 3; where y 2 and x = 1

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Q: B. Find the general solution of each of the following Higher Order LDE with cc y (5) – 9y" = 27

A: We have to find general solution of given differential equation.