Tkrit University Civil engineering Department Third Stage Eng. Anal & Num Meth. Dr. Adnan layed Zedan Example: find the particular solution of y" - 3y' + 2y = 12e-2t y0) = 2 & y'(0) = 6

Q: Solve y" – 2y' – 3y = 3t² – 5 using the Method of Undetermined Coefficients.

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Q: 3 >(5 + v4i) i=0

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Q: Show that rejst =rcjs(-0)

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Q: Please make your own questions and solve it on your own about the following topics: - Kurtosis

A: Question :- Using the data from the example above (12 13 54 56 25), determine the type of kurtosis…

Q: (xe* + 4e* + 4e' + 4 In y) dx + ( xe + dy = 0; y (0) = 0 y 6.

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Q: In which form should we look for the particular solution of: Y” + y = x3cos(x)

A: Let y=yc+yp be the general solution, where yc is complementary function and yp is particular…

Q: (1+ ye" + xye")dæ + (xe² + 2)dy = 0 C = xye² + 2y+ x C = xye" – 2y – x %3D - Option 3 O Option 4 C =…

A: ANSWER: Option 3.

Q: Use the substitution y = x' to find a general solution to the given equation for x > 0. d²y 3 dy dx²…

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Q: Find general solution of DE by both methods from 2.9 (independent variable missing and dependent…

A: This is a second-order differential y''-6y'-7y=0 let's assume ddt=D so equation becomes D2-6D-7y=0…

Q: Solve the Euler- Cauchy equation

A: We solve the given differential equation using Euler cauchy method.

Q: Part 1: 20% Characterize the 6 equations by putting a tick marks, numbers, or letters on the…

A: Answer is mentioned below

Q: 9. y" +9y = 0

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Q: Problem 2 Solve y" - 25 y = x ex

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Q: Q.10) 412-8/-12 Solve 1-3

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Q: Find the solution (varition of parameter)   X2y11-2xy1+2y=x3sin x

A: According to the given information, it is required to find the solution of the given differential…

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

A: We have to solve given problem:

Q: Find a particular solution to

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Q: ) Find the general solution: x" - 9x = 0

A: The given differential equation is       x'' - 9x =0      Then auxiliary equation is     D2 - 9=0…

Q: Find the Solution (2x+3)y' =y+ (2x+ 3) 1/2; when x = - 1, y =0 2y = (2x+ 3) 1/2 In (2r + 3) 2x = (2y…

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Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

A: 2x3y' =yy2+3x2

Q: Find the form of yp to use in the method of undetermined coefficients y"-3y'-4y=x²e*+xe* a.…

A: Our objective is given below:

Q: 3) Solve over Z. + 1 = /y+l5 %3D

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Q: Solve

A: Topic:- solution of differential equations

Q: The general solution of +y= 2, with y(0) = 0 i , O ye? = 3e? – 3 O None of the choices O ye? = 2ez +…

A: this is linear differential equation

Q: 3 ť'y" +7t y' +1o yoo

A: A detailed solution is given below

Q: Find: (D³ - 5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4;y" (0) = 17 1) Auxiliary Equation 2) Roots of…

A: Given- D3 - 5D2 + 17D - 13y = 0 ; y0 = -1, y'0 = -4, y''0 = 17  To find-  Auxiliary Equation Roots…

Q: What is the particular solution if y(1)=0? 1/2 xy = y + (x² + y³)"

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Q: 1. Find the general solution of ' [1 0 0 00] 3 1 X. 1 -1 -1

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Q: Use undetermined coefficients to find the particular solution to y"-2y+4y= 4t+7 Yp(t) =

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Q: Solve the following: 1. y'=√x+y+I 2. 2xy + y³e-2 = 2xy. (Bernoulli) 3. (x-y)y' = x+y, y(1) = 1. 4.…

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Q: Solve the Cauchy euler equation d²y + 6x 2-6y = 3 + Inx3 dx x3 d3y 3x2 dx2 dy dx3

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Q: y=c1J3(/3x) +C2J3(/3x)is solution for x?y"+xy'+ (9x-3) y=0 ylgn ihi

A: True

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.