F f(x) = x2 - 9 & g(x) = 2x- 5 then find the solution for (fog)x) <0 %3D

Q: What do you mean by Separable Equations?

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Q: Solve fractional equation. スx いlo 2x+5 4x+10 2x 11 2xf5 4Xナ10 スx スx+5 スx ef ス×+5 スr+5 why does…

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Q: Obtain the general solution y

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Q: Find the general solution of the following: y" +y - (G + 4) y = 0

A: Given that, y''+1xy'-9x2+4y=0

Q: solve (D^3-3D^2+3D-1)y=x^2(e^x)

A: Solve the differential equation:  D3-3D2+3D-1y=x2exD-13y=x2exy=1D-13x2ex   y=1D-13x2ex  =ex1D+1-13x2…

Q: max    2x1 + 2x2 s.t.   3x1 + 2x2 ≤ 36        3x1 + 4x2 ≤ 48         x1, x2 ≥ 0 Solve the LP…

A: The given problem is  MAX    2x2 + 2x2subject to         3x1 + 2x2 ≤ 36         3x1 + 4x2 ≤ 48 and…

Q: Find the general and particular solution of the y"=3e³x if f(2)= k and f'(2)=k²

A: y"=3e³x if f(2)= k and f'(2)=k²

Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: Find general solution of " – y – 2y = e2t

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Q: Find the solution of y'' (x) = y(x) that fits in origo and goes through the point (ln2,(3/2) )

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Q: Use Fixed-Point method to find solution accurate to within 10 for the following nonlinear equation:…

A: Given equation is, The given initial solution is,  To find the solution of the given equation…

Q: | 2x²+ 4x- 5 x(x² +6x+10)? * To solve | -dx using the method of partial fractions, we write it as

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Q: Find the General Solution: y" - 3y' + 2y =e*

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Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

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Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: x+y-4) dx-(3x-y-4)dy=0; when x=4, y=1 Solve using Coefficient linear in the two variables

A: ( x+y -4)dx-(3x-y-4) dy = 0 , x=4                                                               y…

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

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Q: Solve with help of partial fraction technique (b) f (5 – 4 x – x² ) dx

A: Our Aim is to solve the integral given below with the help of partial fraction:-∫x5-4x-x232dx

Q: y-z z-x x-y General solution of p +q =*y yz xy

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Q: 2xyy' 1+ y2 What is the general solution?

A: The solution is given as

Q: When solving S3x – 2y = 5 ly = 3x – 3 by the substitution method, we obtain x = , so the solution…

A: Given equations are: 3x-2y=5......(1)y=3x-3......(2) Get the value of 3x from the equation (1)…

Q: use Separation of Variables to find the general solution. y' + x2y = 0

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Q: Find the particular solution. y' = e* - 4; y(0) = 3

A: For a differential equation, there are two parts of solution. one is the complimentary function…

Q: a) Derive the secant method to solve for the roots of f(x)=0 nonlinear equation, b) Use the secant…

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Q: C. SOLVE USING PARTIAL FRACTIONS. dx S- 1. .2 x + 2x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Evaluate the intergrals. ∫ (x-1) dx / x2+5x+6 show the complete solution. step by step

A: Given integral is ; ∫x-1x2+5x+6dx

Q: dx x(x2 + 1)2 3.

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Q: Using partial equation, solve for: xy3dx + (y+1)e -xdy =0

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Q: y' +(E- 1)y ==

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Q: Q5/ Use Newt on-Raphson Method to find the approximate solution of the nonlinear equation f(x) given…

A: We are given that x3-x-1=0 . We have to find the approximate solution of the given nonlinear…

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

A: Here we have, g(t)=t2-2  ............................ (1) We have to find g(-2)=?

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

A:

Q: 2. Find the stability of the difference equation xn = Xn-1+¤n-2.

A: By theorem,            Let the 2nd order homogeneous differential equation is,…

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

A:

Q: Particular solution of y' = x+xy²/4y, y(1) = 0

A: Given differential equation- y'=x+xy24y   , y(1)=0 We need to find particular solution of the given…

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

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Q: 3. Find the general solution using the method of Variation of Parameters. y" + y = = sect

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Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

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Q: general solution of (D2-1)y=2/1+ex

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Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

A: Given data,y''-2y'+1=0We have, (D2-2D+1)y =0The auxiliary equation is m2 -2m+1 =0 ⇒m= 1,1When the…

Q: The general solution of the DE y" -y" + y'-y 0 is

A: we have to find out the general solution of the differencial equation y'''-y''+y'-1=0

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

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Q: Q2/ By using partial method solve fx² In x dx

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Q: c (x3 +8x2+20x+34) dx x2+5x+6

A: ∫(x3+8x2+20x+34)x2+5x+6dx

Q: Solve Using left to right elimination method x-2y-z=0 x-3y+z=1 3x-6y+z=12

A: The given equations are, x-2y-z=0                                                       1x-3y+z=1…

Q: Find the general solution of (2x –y) = 2y – x

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Q: x  -   y  -  z  =  2 -x  +2y  - 3z  = -5 3x  - 2y  - 7z  =3 solve x, y and z

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Q: (7x* + x) 2. (x-2)(2x+1)(x+1) dx Solve using Partial Fraction.

A: Given:

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.