Find the general solution by substitution or elimination Q6 A: * = x -2 y +t — х —у+2t dt

Q: Use the method of reduction of order to find another solution of y"−4y'+4y=0 if y₁=e²x is a solution…

A: The given equation is;  y''-4y'+4y=0 and y1=e2x

Q: The IVP y =y cost , 0st<1, -1sysland y(0) = 1 has a unique solution Select one: a. True b. False

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Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

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

A: The given system of equation is  3x + 2y -z =1 x - y +5z =-2 2x +y =3

Q: Find the particular solution that satisfies the initial condition. x3y'+2y=e1/x^2, y(1)=e

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Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: Find the particular solution of xy" + xy' 13; y = 0 and y' = 1/2, when x = 1.

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Q: Use the method of variation of parameters to find a particular solution of y" – 5y' + 4y = e*. %3!

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Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 6y = 3e t %3D Y(t) =|

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

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Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

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Q: 6. Find the solution of dy = (y² – y)x². dr

A: Definition used -          The solution of the variable separable differential equation-…

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 undetermined coefficients to find the particular solution to y'' + 3y' + 2y = 4e - 2t Y(t) =

A: Given:

Q: Use variation of parameters to find a particular solution of the DE y/" – 4y + 4y then write down…

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Q: Find the particular solution to D²y – 6Dy + 9y = e3x – ex when x = 0, y =y' = - 3 %3D

A: For given differential equation we have to find particular solution.

Q: Solve the following equation by using separation variable method: y(x,0)=10 t> 0 y, (0,1) = y,(7,t)=…

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: (4D* – 4D³ – 23D² +12D+ 36)y = 0

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Q: Use the method of undetermined coefficients to find the general solution y'' +3y' +2y =e-t +t2 +2t

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Q: Find the general solution by using reduction of order method to (x2 + 1)y" – 2xy' + 2y = 0 given…

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

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

A: We will find out the required general solution.

Q: Use 4t order Runge-Kutta Method to solve dy = y' = x+y, y (0) = 1 & Y(2) = ? Use h = 0.5

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Q: Use undetermined coefficients to find the particular solution to y'' + 2y' – 4y = 2t + 2 Yp(t) =

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Q: Determine the type of DE/method of solution to be used and solve. y′ = x3 − 2xy, when x = 1 and y =…

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Q: Q1: Solve the second order linear homogenous equation: y" – 2ky' + 4y = 0 k > 2 -

A: According to our guideline we can only answer first question and rest can be reposted.

Q: 2. (D² - 3D + 2)y=1+x

A: The given differential equation is;  (D2-3D+2)y=1/(1+e-x).

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

A: Answer

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

A: To solve the following problem

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: Use the separation of variables method to solve 4UTr H Utt: 00 uz (0, t) = uz (2, t) = 0 u(x,0) = x,…

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Q: Find a particular solution to æ' = -x – y + e', y' = 2x + y – ešt using undetermined coefficients.

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Q: d*y d?y 4. dt2 24 dt4

A: Given differential equation can be evaluated as shown below

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: Q4\ Solve by Gaussian elimination x - 4y - 2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: 2. Find te gunural soiUtion of 2

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Q: Q2. Find general solution of the DE 4y" + 4y" + y' = 0

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Q: dy Find the general solution of xy + y² dr x2

A: According to our guideline, we can solve only first question of multiple question.So, here we solve…

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: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

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Q: Use undetermined coefficients to find the particular solution to y'' + y' – 3y = 4t + 5 Yp(t) = %3D

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Q: Consider the IVP: y" + 9y = 40ex ; y(0) = 5, y'(0) = -2. Find the general solution.

A: Use the given differential and initial conditions.

Q: Find the general solution of (x³ + 2y4)y' = 3yx² in implicit form f(x, y) = c. When y(0) = 1, what…

A: We have to solve the differential equation

Q: Find the particular solution of y" + 2y' – 3y = 0 when x = 0, y = 0, y' = -4. %D

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Q: 2ste-tds + (s²e-t – t)dt = 0

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

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Q: 3. Find a second solution to y" – 25y = 0, given one solution y1(x) = e5z. %3D %3D

A: Given differential equation is y''-25y=0 &amp; y1x=e5x be one solution of the differential equation.…

Q: Solve the DE by Variation of Parameters (D³ + D² – 2D) y (0) = 0.4, y' (0) = –0.4, y" (0) = -0.4

A: The Symbolic form of the equation is D3+D2-2Dy  =4e-2xcos x Auxiliary  equation is D3+D2-2D=0…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.