7e cos z Integrate counterclockwise around the circle |z| = 8. (z – 3)² - 7e cos z dz 2 c (z – 5)

Q: (c) y?r dy dx 22

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dy will be dx In x+1 If y = then 2x3 - 3x' (2x- 3x) +1)- (In x+ 1)(6x? – 3) (2x – 3x)? A. (2x - 3x)…

A: To find the dy/dx of the given function

Q: y" ~2y² + 5y = 4e²x cos2x

A: Solution of the non- homogeneous higher order differential equations.

Q: 1 Laplace transforms Calculate the Laplace transforms of (i) H₂(t) cosh (3t), where cosh (at) = 1/²…

A: Solution: (i) let, f(t) = H2(t)cosh(3t)                   = H2(t)[(1/2)(e3t + e-3t)]…

Q: 4. Find L cos t +t² – 3e¬9t + 5

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Q: " + y = 12 cos 2x - sin x. A. " + y = sin 3x +4 cos x. A

A: Given: y''+y=12cos2x-sinx

Q: 1-x -x? dy dx -1 J-V1-x² (1 + x + y)² X.

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Q: 3x (y? + y + cos4y)dydx 3.

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Q: (y cos x + 2xe)dx + (sin x + x²ey – 1)dy = 0

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Q: L{t sin t cos t} = 2s (A) (s²+4)2 -2s (B) (s²+4)² (C) 14) (s²+4)² -8 (s²+4)2 (E) (s²+4)²

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Q: (D² - 9)y = 0. (A) y = e*(c,cos2r +c sin2x) B y = c,cosh 3x + c,sinh 3x y = c,cosh – 3x + c,sinh 3x…

A: Solution

Q: (c) y/" + 4y = 3r cos(2r)

A:

Q: y" + 4y – 5y = –260 sin(5x).

A: To solve the given differential equation

Q: (D²-3D-2)y = 0 Find y when x = In 2 when x=0, y'= 9, Y=0, y=0 4.

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Q: d x 2. 1+xVI-(Tanin)

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Q: dy (x³ + 1)(x² – 2x-1+ 1) of y = dx x² + 3

A: y=(x3+1)(x2-2x-1+1)x2+3

Q: (D² – 2D- 3)y = 2sin x a. y, = -cosx – 2 sinx =csx COSX b. y, = --cosx - - sinx COSX c. Y; = - cosx…

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Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: S cos(3x – 2n) cos (x + t) dx

A: We know that, 2cosAcosB=cos(A+B)+cos(A-B) Also, ∫cosxdx=sinx

Q: (0,3) C1:x² + y² = 9. (-3,0) C2 (3,0) Figure 1 Based on Figure 1 and given that F = y?i + (3xy +…

A: Greens theorem If D be the region enclosed by the curve C , Which is positively oriented, smooth,…

Q: y" - 2y y""y" + 2y = e2 (cosx-3 sin r). 21 - 4y + 4y = 5-e + c²r.

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Q: Which of the following equations is NOT an exact equation? dy=0 B (xy - cos x)dx + (x² – 1)dy=0 (2x…

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Q: (D³ – D²)y = cos2t; y a. y = C, + C,t+ Cze +cos2t-sin2t 10 20 b. y = C, + Czt + Cze-2* cos2t + 10 1…

A: We have to find the general solution of the given  differential equation D3-D2y=cos2t .

Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: (10) y "+10y "+34y '+ 40y

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: g(m) = (5m + 8)® cos(7m) – em² -3n C. CoS

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Q: To identify how much heat is required to bring a kettle of water to its boiling point, you are…

A: Here,

Q: cos(2y) – 3x?y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 %3D

A: Let's find.

Q: Find for the following dx 1- cos² (x. y)= 2y³.x²-√√x+√√2

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