1 y = e*(C, cos2x + C2sin2x) –xe*sin2x a. 2 b. y = e*(C, cos2x + C2sin2x) +xe*sin2x 1 y = e*(C, cos2x + C2sin2x) – xe*sin2x с. d. y = e*(C, cos2x + C,sin2x) +xe*sin2x Ob Oa

Q: c) y = (x-2) 3 x² (x-1)(x+5)4 [Hint: use logarithmic differentiation]

A:

Q: 11) fx-In x dx In x- 2 4 (ans. : -+c) 12) fx- tan'x dx (ans. : 2 -tan"l x -(x- tan"" x)+c) 2 13) fx'…

A: 11.Given,∫x.In x dx

Q: Find y' where y = tan(11a? + 8) v173 + 17 Answer: 51a2 y/ = sec2 (22æ)\/172³ + 17+ tan(11a² + 8)…

A: I have used the rule for composition of function and multiplication of functions

Q: Ay + Fy' + qy = 30e* %3D 雲. (每, A. y= C, cos( V95. C2 sin B. + 을이 C,o(뜬)+ Ca + D.y= C, cos 195 4 X

A: To find the solution of the below differential equation. 4y''+7y'+9y=30ex

Q: Find the general solution of the system of equations 2 -5 x' 0 = - ( ² = ₂ ) x + ( cost), 0 < t < *.…

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Q: se-2s -)=D 's²+45+3

A: Given,

Q: Find dy dx 1) y = -1/323 ; tan 43 2 y = sec 5x 3) y = cos cos 2x + tan¹ \/ / 4) y = cot²¹ 2² 2 5) =…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Suppose that ye cos Bx is a solution of y-y +ay -9y =0 where a and B are real constants Then the…

A:

Q: valuate the integral using U-substitution x dx (7x2+3)5 1) S A)-(7x²+3)-6+ C C)-(7x² + 3)-4+ C…

A:

Q: 7. Evaluate * (D5 – 3D¹ + 8D³ + 16D² – 9D – 13)y = 0 y = (C₁+C₂x)e¯x + Сze* +C₁е²x cos3x +C5e²x…

A:

Q: 2) (3x²y+ 4e)dx + (x³ + 4xe + 2y)dy

A: We are authorized to solve only 1 question, please repost remaining questions Differential equation

Q: Q7: Í sin(3z)cos(4z) dz = a)cos z- cos(72) + C b) -tcus x -os(Ix) + C %3D Qe S sin'x cas d = 2).

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Q: Solve for the general solution: (D² + 5)y=0. Oy=c1 e^(√5x) + c2 x e^(√5x) O y = c1 cos(√5x) + c2…

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Q: Find the solution. (y - cos?x)dx + cos x dy = 0 A) y (sin x +cos x) = c + x - tan x x (cos x + cot…

A: Solution

Q: If y= x2 sin 2x, then y = А) 2х cos 2x B 2x (sin 2x - x cos 2x) C 2x (sin 2x + x cos 2x) (D) 4x cos…

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Q: Solve: (24x y- 15x y + 10 sin a cosa cosy) da + (40 y - 12 y-5 sin² a sin y) dy = 0 O 8a* y-3a y-5…

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Q: 7. Find the general solution of (Dʻ + 2D’ + 10D²)y = 0.

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Q: The equation (tan²x+3y²)sec²xdx + (3tan²x + y²)dy=0 can be solved by

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Q: If f(x) = cos (-x) + 3x + 2, xE [0,1], then f"(5) = %3D A) cos + 17. B) cos()+17" (Sm C) 0. D) 2. E)…

A: Solution of question as follows

Q: Find the general solution (D? + 9)y = 5e* – 162x %3D a. y = c, cos 3x + c2 sin 3x + 18x +e* 2 b. y =…

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Q: b) y = cos(5x) ln(x² + 1).

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Q: A particular solution of y" + 2y' + 5y = e sinx 4 elsinxcosx) 13 13 2 sinx + cosx) 65 a. b. ex (355…

A: we will find the required.

Q: If y = (cos (2³) + 3)4, then equals dy dt a) 4 (cos (2³) + 3) ³ (x²) b) 4 (cos(x³) + 3)³ (-sin(x³))…

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Q: 11. Evaluate * d²y dy - 2 + 5y = –17sin2x dx2 dx y = (C,e* + 68 |cos2x +(Cze* + 17 sin2x 15 y =…

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Q: In what form should the particular solu tion be sought for the equation y(4) + 2y"' + y'" + 2y' =…

A: We will solve it by undetermined coefficient method Let the particular integral with respect to x is…

Q: r5x V2 - cost dt dr 2/2 a) 5/2- cos 5r COs 2r b) 5/2 COs 2r 2/2 COS 5.r 2/2 cos 5r - COS 27 d) 2/2…

A: