8. Given f(x) = 2x- 5 & g(x) = 3x +4, solve for g o f(x). a. 11 - 6x b. 6x2 - 7x - 20 C. 6x - 11 d. 6x2 - 23x - 20

Q: 2. Eliminate the arbitrary constant on the given equation: y = C₁e-²x + De4x

A: Given  y=C1e-2x+De4x

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A:

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Q: 3. Solve for r in terms of x¡. T4m 2 m Ax 10 m 10-x,* X章

A: In similar triangles , ratio of corresponding sides are equal.

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Q: 2 Find the particular solution of y' +y = -x°y5 ; У(-1) %3 2

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Q: What is the particular solution for y′=−2e^x−3x^2+x−4 such that y(0)=1?

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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: Solve a & b with given A[r = 3x şax+ (y + z + 3) Ay +(6x - z³) a₂] where: np = ax + 4ay - 2az 2+y³

A: Given

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A: Given equation, fx=2+x2-x3, To find the interval on which the equation fx=0 has a solution.

Q: 1. Eliminate the arbitrary constants on the given equation: y = C1 + C2e¯ -2x 2 Eliminato

A: Given

Q: dy 2 Solve (x2 - 1)+ 2xy x2-1

A: (x2-1)dydx+2xy = 2x2-1dydx+2xx2-1y=2(x2-1)2this Diff eq is Linear Diff Eq.dydx+P(x) y =…

Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

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Q: Give a particular solution for y" – 2y' + y = 1+x2

A: Given that a differential equations - y" -2y' +y = ex/1+x2.   We know that integration of 1/(a2 +x2)…

Q: 3. Show that y = 5x2 +2 is a solution to the DE ry' +y" = 2y.

A:

Q: 10. Find the particular solution that satisfies the initial condition. my'+2y = 3x2-5x, Initial…

A:

Q: 4. Give the graphical significance of the constant k for the equations of the form y=(x-h)³ +k

A: Given curve is y=(x-h)3+k

Q: 2. Verify that e 2 is a solution of the equation y" -3y'+2y=0.

A:

Q: H4. Use the method of variation of parameters to find the general solution of dy -X- - 3y= 4x³. dr2

A: Please find attachment for the details solution

Q: Suppose that x-y" + axy' + by = 0 has the general solution of the following form: y = C,x³ + C2x³ In…

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Q: B1 (b): Solve the initial value problem : f'(x) = x5 + 12x + 12 and f(0) = 5. ,15

A: We apply differential equation method to solve initial value problem

Q: Q2/ Choose the correct 4 By using fixed point method, which as the following formulas can use to get…

A: The given equation is 3xex=1 on [0,1]. To Find: Fixed point iteration rule for the above function.

Q: 4 Solve y" – y" – y' + y = 2e¬t + te' + 3 by using both the method of undetermined coefficients and…

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Q: 1. Eliminate the arbitrary constants in the equation given by: (x- a)(y – b) = 1 |

A:

Q: It is easy to check that for any value of c, the function y = ce-2 + e- is a solution of the…

A: Ans:  We have to solve                y'+2y=e-x; y -1=5       We have to find C  for the solution of…

Q: C - S N. L Solve for C: V = C - -

A: Given equation is: V=C-C-SLN We have to solve for C.

Q: ) Give a particular solution for y" – 2y' + y = 1+x² *

A:

Q: Find all a E R for which the given equation does not have a solution: а — 5 7+ 3a 2ах —5 - - x +1 х…

A: Find all a∈ℝ for which the given equation does not have a solution: a-5x+1-7+3ax-2=2ax-5x2-x-2 Cross…

Q: Find the auxiliary equation with constant coefficients satisfied by  e^2x , e^-x , e^3x , e^5x

A: Let's find.

Q: 2 Given 0 4 = 16, solve for y -1 y O 1 O 2 O 3 O-3

A: Expand the determinant along that row or column which has maximum number of zero. In given question,…

Q: Solve the following: c) 2/3≤ −4/5(x − 3)<1  (d) 6z−9−z2 <0  e) 3t2 +21t+30≥5t2 −20

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Q: b) Give a particular solution for y" – 2y' + y = et - 1+x2

A:

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

A: eular method

Q: 6. Solve for x. a) x- 5 = 7 b) 2(x+ 1) = 10 c) 5x – 8 = 2x + 3 d) -5x + 1 = 3x + 2 e) 8 = 4x – 4 f)…

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please…

Q: (i+z) dy 3. Solve (itx) 9

A:

Q: III. Solve the problem 1. x"(t) + x(t) = 6sin2t; x(0) = 3 and x'(0) = 1 2. Given:

A: As per bartleby guidelines we only give first question answers.

Q: Verify that for x>0, (2/ /3)x³² 2 is a solution of the equation yy" =x.

A: Given:     To verify: y is the solution of equation yy''=x

Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

A:

Q: 1. Solve the following: (a) 1 (d) 6z - 9-z² < 0 X-4 (b) -<1 |X-2 4 2 3 (c) 33 -끼x - 3) <1 (e) 3t2 +…

A: There are multiple question . As per company policy ask other question separately.

Q: S'z xdx (1+x)*

A:

Q: 2 Solve for x: 3 3 x2-16 x2+x-20 x2+9x+20 a. x= -34 b. x = -17 C. x= 6.5 no solution C. d.

A:

Q: 1. Solve the equation on the interval 0s0<2x. 4sin 2e-3=0 O A. 3'3 元 5元 B. 6 6 I 5x 7 11x С. 6 6 t…

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Q: 10. Find the particular solution that satisfies the initial condition. xy'+ 2y = 3x² – 5x. Initial…

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Q: 1. Solve [6x²e*, 35x-3,x>0 ,x<0 [w(x)dx if w(x)= а. b. 3cos 2xsin 7xdx

A: we have to solve the following Integration ,  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3,x&lt;0b) ∫3cos2x…

Q: 1. Solve the following: |x - |X-4| (a) , 2 3 -- (x – 3) < 1 <1 (c) 3 (d) 6z – 9 – z? < 0 (e) 3t?…

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Q: Given: Max Z=30x+25y x+2y>6 2x+y26 x,y>0 Solve for z

A:

Q: Apply Variation of Parameters to find the general solution. e* у"- 2у'+ у 3 1+x?

A: Given y''-2y'+y=ex1+x2