Solve by VP: y" – 3y" + 2y' e* 1+e-x Hint: Answer is y = c1 + c2e* + c3e2x + (e* + 1) – In(e* + 1) – e*(ln e* + 1) -e2* In(1 + e¬*)

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

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Q: part b,c,d

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Q: express on J5 by Jo & J1

A: This problem is solved by the concept of recurrence relation

Q: 6. Complete the square to get an equivalent expression: 7-6x – x² No integration necessary on this…

A: 6 Given expression is 7−6x−x2. We have to complete the square to get the equivalent expression…

Q: (х + у+4)dx+ (x + у—3)dy %3 0

A: The differential equation M(x,y)dx+N(x,y)dy=0 is said to be exact if there exists a function f(x,y)…

Q: Exercises: Differentiate the followings 1. y = (2x2 – 4x + 1)60 %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Some Properties of Cyclic Quadrilateral In a cyclic quadrilateral, all the four vertices of the…

Q: Solve for Rf   E(Ri) = Rf + [E(RM) – Rf] × bi             .1020 = Rf + (.1080 – Rf)(.91)

A: Given : E(Ri) = Rf + [E(RM) – Rf] × bi              .1020 = Rf + (.1080 – Rf)(.91)

Q: Find L{t?e-4t - e-2tsin (v2t)}

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Q: Solve: (xy – 1) dx + (x² - xy) dy = 0 %D |

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Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

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Q: Example 4: Sohue: (2+j3)2²+ 4z +4-j6=0

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Q: a) 6e2x – 17(e*) + 12 = 0 b) 82x+1 = 45-x %3D

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Q: d?y dx3 Solve - 27y=0 O a. y = ce -3x + e7*(c2cos- 3/3 x+C3sin 3/3 -x) 2 Ob. OBy=c,e3x +e"(c,cos 33…

A: We have to solve given problem:

Q: e) Solve [(-x'y)² + (x²y)³]²

A:

Q: ® Investigate the conurgence of 3. Convergence 2.

A: The given expression is ∑n=1∞n!2en2. We have to find whether the given series is convergent or…

Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

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Q: Solve for the general solution (D4 – 16)y = x* + x + 1

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Q: Solve x from: U = 1- (c-x)2/(c-a)(c-b)

A: Given expression is as follows

Q: (D² - 4D + 5)y = e¯*; yp a. Yp 10 b. y, =#e* 10 C. y, =e* 10 d. y, =e* 10

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Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

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Q: Solve for y ax=cy - z

A: Solve for y: ax=cy - z This can be done as follows:

Q: -5x +3x – 28 dx (x – 1)(x² + 9)

A:

Q: Determine the antidifferentiation of (3xc + ed - (4/x)) dx  (where c; d are real numbers and c does…

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Q: (2xy s) 10x*y Sx*y (-243x*yy

A: Due to our guidelines I am solving only first three parts plzz repost other question.  1. (2x5y3z)2…

Q: (4x-1) 5 =3 then x= 1. A. 2 О А о B О с O D В. 4 С. 1 D. -2

A: The given problem is to evaluate the given equation and find the value for x. Given equation…

Q: Evaluate: 3 A 1–x*) 2 + C 3 (1-x*) ² + C --(1-x*) ² +C D 1-x*) 2 + C 3

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Q: Q: Interpret the yate of change of (31+5) (4u+2) with respect (2x+3) to

A: This question related to derivative.

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: 4xу + 30х у —16 ху" 6ху

A: Divide the entire numerator by denominator.

Q: {b_n}={3^n/n!}

A: We first expand the summation sign

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A:

Q: 5. x3 + 2x – 6 dx x4 + 2x2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Determine u and du. Show solution

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Q: cosh (z) = eIz-e-iz 2i +e-iz 2i +e- 2 2

A: Use the standard formula of hyperbolic cosine function.