The solution of the IVP t(t + 4)y + (t + 4) y =t, y(2) = 2 exists in the interv

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

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Q: Find the 2nd solution by reduction of order. y" - 4y + 4y=0; y₁ = e²x

A: Here given the differential equation as y''-4y'+4y=0 .......(1) And it's one solution is y1=e2x

Q: x3 2.

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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: y" - 6y' + qy 2,

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Q: x'y" – 3xy' +4y=x° Inx

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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 a general solution of y"- 2iy'+3y= 0.

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Q: Find the wrong Kian W(y1,y2)(t) of y1 and y2  Where y1=t and y2= e^t are solutions of…

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Q: 11. xy' - y= y23 Answeri: y = (CVx – 1)3

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Q: To find a particular solution of the form Yp = u1y1 + u2y2 of a nonhomogeneous DE using the…

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Q: 3. Obtain the general solution of yv1+x²dx + x/1+y²dy = 0 using variable separable method.

A: We need to solve D.E. NOTE - AS PER OUR GUIDELINES WE CAN SOLVE ONE QUESTOIN SO PLEASE UPLOAD OTHER…

Q: The solution of the nonhomogeneous DE y" – 2y' +1 = 3e3x is y = cqe* + c2xe* + 3x y = cqe2x + c2 +…

A: We need to find the solution to the nonhomogeneous DE y''-2y'+1=3e2x⇒y''-2y'=3e2x-1. The…

Q: yV + 2y" + y" = re=*

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Q: After three iterations, the Jacobi method applied with initial approximation (0) .(0) .(0) = x3 =…

A: To apply the Jacobi method applied with initial approximation.

Q: Show that the solution of T(n)=T(n– 1) +n is 0(n²). Do not

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Q: 4) Find the general solution of the 2nd order PDE 2и. - Зи,, +4и, 3D10 6) +** s (3x +2y) answer:

A: Given : 2nd order PDE       2uxx-3uxy+4ux=10                 --------- (1) To find : general…

Q: To find a particular solution of the form Yp = U1y1 +U2y2 of a nonhomogeneous DE using the variation…

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Q: 3. Verify that 3e-2x +4e* is a solution of y"- 3y' + 2y = 0.

A: We have to verify that 3e-2x+4ex is a solution of y'''-3y'+2y=0

Q: the general solution of yv1+x²dx + x/1+ y?dy = 0 using variable separable method. 3. Obtain X-

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Q: 1. Determine all possible solutions of ²u ex² = d²u oy ² by using variable separable method. 7

A: The given problem is to solve the given partial differential equation by using the method of…

Q: 6. Q1. Verify that y -20t е y' + 20y = 24 is a solution of the DE Q2. Find general solution of the…

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Q: If yp=e4x is a particular solution of nonhomogeneous DE y’’-4y=12e4x and yp=x is a particular…

A: Note that if y1 is a particular solution of a nonhomogeneous ode y'' +p(x) y' +q(x)y=r(x) and y2 is…

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: Find a homogeneous LDE with constant coefficients that has y=-1+3x²e* as a particular solution.

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Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: Use the IVT to show that e−x2 = x has a solution on (0, 1).

A: Given equation is

Q: 3t yy"2y

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Q: Solve the PDE of the first order Uz – Uy = 0, u(x, 3.x) = x²

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Q: 8) (a). (8pts) Find a general solution to y" – 6y' + 9y = t-³e³3t by using variation of parameter…

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Q: Find the solution of the PDE t> 0, x = [0, π] x= [0, π] √u₁-ux = U₂ [u(x,0) = 3 senx + sen3x,

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Q: 7. Find the solution of the IVP: y" + y' – 2y = 4t, y(0) = 1,y'(0) = 2 using method of undetermined…

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Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: 7. Solve x1,x2,x3,x4 using LU or Naïve Gauss method exz + V2x3 – V3x4 = /TI, x?x, + exz - e²x3 + x4…

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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: SOLVE A SYSTE M OF LINEAR EQUATIONS LU DECOMPOSI TION METHOD USING 2x + 2y +2 : 5 1X+ 32 : 5 EX +Hy…

A: Given 2x+2y+z=5x+3z=5-x+4y=2

Q: The general solution of 5uxx – 6uxy +uyy = 0 -

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Q: The Wronskian of the two solutions of t*y" – 2t³y' – t®y=0 is ct?. - Select one: True O False

A: Given differential equation is  t4y" - 2t3y' - t8y = 0

Q: Show whether the two equations y₁ = using the Wronskian. 12e and y2 1.2e are independent or…

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Q: *11. Show that the PDES xp = yq and z(xp+ yq)=2xy are compatible and hence find its solution.

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Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

A: answer is in next step

Q: Yp = Find a particular solution to y" + 5y' + 4y = - 19te³t.

A: Introduction: The differential equation has a particular solution, which is a singular solution of…

Q: Solve the following using big M and 2-phase simplex Max Z = 2X1+5X2 S.T 3X1+2X2≥6 2X1+X2≤2 X1,X2≥0

A: AS YOU ASK MULTIPLE QUESTION I ANSWERED ONLY THE 1ST BIG M METHOD     Max Z =   2 X1 + 5 X2…

Q: Find the ansatz for a particular solution yp of y'''-3y''+3y'-y=3+3ex

A: Given: y'''-3y''+3y'-y=3+3ex

Q: Find the general solution of y" + 10y + 25y = e-5x using method of undetermined coefficients.

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Q: The homogenous D. E. with constant coefficient of at least order which has the solution y = 2x + 3e…

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Q: Find the general solution to the DE y"-6y'+9y=t2e3t

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Q: 4. Consider the problem x1+ x2 -x +2x2 s -1 2x1 - x2s -1 *1, X2 2 0. max s.t. Try to solve this…

A: We are given the objective function: x1+x2 We have to maximize this function subject to…

Q: 7. Use the Gaussian elimination method to find the solution set of the following systems and that of…

A: Given equation are: x1+2x2-x3=1......(1)2x1+4x2=2......(2)3x2-5x3=3......(3)

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.