g(1) = t² – 2, find g(-2) Solution: g(-2) =, g(-2) = g(-2) =

Q: Find the general solution  (D2 − 2D − 3)y = 0 when x = 0, y = 0, y′ = −4

A: The given equation is,D2-2D-3y=0with the initial condition,x=0, y=0, y'=-4

Q: Solve using the method of undetermined coefficients y'' - y' + 1/4 y=3 + e^x/2

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Q: Obtain the general solution C. (D2 + 2D + 2)y = e-x

A: Obtain the general solution C. (D2 + 2D + 2)y = e-x

Q: find the general solution : 6- y' +4y = 4 sec 2x

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Q: 2X - y = 5 3x + 2y = 11 solve by using substitution method.

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Q: Solve this DE (D2+2D+2)y = e-xcscx

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Q: Find the solution. y'- y = -xyl/2

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Q: Find the General Solution: (D2-1)y = (1-e2x)-3/2

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Q: - Solve the equation z = x² + xy² when x = = 0, zz = y³ and when x = 2, z = y.

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Q: Solve for y in two ways. y' - 5y = -3

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Q: d²y from the following dx2 Solve 1. y = 8x* – 12 x° + 6x² – 9 2. y= (4x-9)?

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Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: '+ y"-4y'=x² +3x-2 FIND THE GEneRAL SOLUTION OF THE EQUATIONN

A: Consider the given equation. y''''+y'''-4y'=x2+3x-2 Write the characteristic equation.…

Q: Find the general solution for the equation: D2(D4-16)y = 0 is y = ?

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Q: Determine the general solution: y' = x - 2y. *

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Q: Find the solution of y − y = e2x , y(0) = 1.

A: Substitute value of the variable given in the equation. Then after calculation the value of other…

Q: Q3. Solve for t ex* e2x+1 = et

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Q: e²–3¤ /1 – y² given that wher

A: Given that, dy/dx = e^(2 - 3x) . sqrt (1 - y^2) Then we get, dy/[sqrt (1 - y^2)] = e^(2 - 3x) dx…

Q: Find the solution. 6y-2y = xy (x-1)+e B -1)-a

A: Solution

Q: Q2) Find The root of the Equation fca)- x².x -3 -0 On L1, 2] using (the fixed point method), Where…

A: NOTE : There are no roots possible in the interval [1,2] of the equation f(x) = x2-x-3 = 0. The only…

Q: y" – 6y' + 9y = :

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Q: Find the particular solution. (D^2 − 2D − 3)y = 0; when x = 0, y = 0, y′ = −4

A: From the given differential equation; D2-2D-3y=0 The auxiliary equation is: m2-2m-3=0 Now solve;…

Q: Solve the diffrential equation:

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Q: Solve y - y1 = m(x - x1) for x.

A: The given equation is, y-y1=mx-x1. The objective is to solve the equation for x.

Q: Solve the equation 2x² – 3y² = 6 for y. Is y a func- tion of x?

A: Given equation is 2x2-3y2=6. To solve for y and  to determine whether y is function of x. Solution:…

Q: Find the particular solution y''-2y'-3y=0; when x=0, y=0, y'=-4

A: It is given that the differential equation  y''-2y'-3y=0,  y0=0 and y'(0)=-4     The given…

Q: y5 + 2y3 +2y" = 2x2-3 find the particular solution using undetermined coefficients

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Q: Jx² +y° =16 (x+2)* + y² = 25 Solve graphically:

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Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: Find the particular solution: (D4 + 3D³ + 2D²) y = 0 when x=0, y=0, y'=4, y"=-6, and y"=14.

A: Given

Q: Find the general solution 5. (D² – 1)y = 0

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Q: b. Solve y = -x³ + x² + x- 3 and y = x-3 using Substitution Method. I

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Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1.

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Q: Find the equation for the general solution y²= cx

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Q: ii) Solve (x D²– 3xD+4) y = x² given that y(1) =1 and %3D - y'(1)= 0.

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Q: .3 t +y3

A: Derivative is below

Q: 11 y" - 4y = x? e3x

A: We have to find the particular solution of the differential equation y''- 4y=x2e3x .

Q: Q2/ Show that y =e2x + e-3x is the solution to the y"+ y' - 6y = 0

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Q: Q3. Solve (D3 – 2D² – 3D + 10)y = x³ – 3x + 2 -

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: c. Solve x2 + 4x-y+3 = 0 and x-y+7 = 0 using any of the two methods.

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Q: Q8. Solve y() +3y" - 4y x + e2x.

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Q: y" - 4y' =t+ 3cost + e -2t

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Q: Solve for x, given the equation Jx-5 +7= 11. Ox= 21, solution is extraneous Ox=21 , solution is not…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Solve the give differnetial equation by undetermined coefficients y''' - y'' -16y' + 16y = 5 - ex +…

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Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y' = -1 What is the general solution?

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Q: Find the solution such that y' = 2(2x – y) passes through the point (0, -1).

A: From the given differential equation: y'=22x-y So, we can also write as: dydx=4x-2y....(1) Now use…

Q: Q4) y" + 9y = x Find the general solution

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Q: g(x) = t² - t dt g'(4)

A: I am going to solve the given problem by using some simple calculus to get the required result.