In solving differen tial equation system "+ w +z = 4 dx z(x) =? dw dz -4z = 5e*, dx dx A) z = c,cosx + c2sinx + e* B) z = c,cos2x + c, sin2x – e* C) z = c,cos3x +c,sin3x +e²x D) z = c, cosx + czsinx – e* E) z = , cos2x + czsin2x +e*

Q: Ou :? u =x +y +:, x=e" cos 21, y =e"21, : =e" = e" (cos 21-sin 4t +&t +8) +2e Ob. e (cos 21 - 2 sin…

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Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. -3x y = (c,+c,x)e-*+c;e-+e*(c,cosx+c gsinxr) -2x A…

A: Given differential equation is (D5-2D3-2D2-3D-2)y = 0

Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: Solve the following exact equations, implicit general solutions will suffice: a) (2xy+x^2)dx +…

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Q: -5 sinx dx I = =? ecosx +3e-cosx ) +c COSX a) arctan 3 cosx b) arctan + C

A: To find ∫-5sinxecosx+3e-cosxdx

Q: عو + Y¹" + 3 Y" + Y' + 22 = 0 general Solution : Y = C₁ cos ax + C₂ Sinba + exp(-22) (C₂ Cos √ 1+1…

A: The auxiliary equation

Q: Solve for the general solution of the equation: y" +4y=-x+4e², Ⓒy=c,cos2x+c sin2x -0.8x+0.25e…

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Q: for: m -} answer fx) = x2-x at x=-1 anjwer for: 4-4, = m CX -X,) dy dx m= m- 2x-X m = 26)- (-1) m=…

A: Given:        f(x)=x2-x  at x=-1 This is in the form of y-y1=mx-x1    y-intercept form at x=-1 is…

Q: 2X +3 2x' +6x² +4x

A: This is too lengthy kindly repost the remaining parts.

Q: 3) v = C,e2x cos 3x + Ce sin 3x 2x

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Q: Find y SX a) y = 3 sin (x² + 5x - 3) y' = c) y = sin" (6x) y'= b) xE5X+2 d) y = In (2x) Y₁ = Y y' =

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Q: Evaluate [em 2* cos 2.x dx a) 2esin 2x +c cos 2x e b) c) ecos2x +c sin 2x d) –+C

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Q: D2-2D- 3)y = 2sin x; y a. y = C,e™* + Cze* - cosx -sinx %3D COSX b. y = C;e¯* + Cze³* + =cosx – sinx…

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Q: e5x cos e5x dx sin²e5x

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Q: Using Reduction to an equation whose Right Member is zero: (D² + D)y= == COSX

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Q: you - yu +ay!~gy=0; ye C, sin3>c + Cz COS 3x+4 14

A: Given that  The differential equation  To find the general solution

Q: Differentiate to find dy/dx a) y = xln(ex) b) y = csc2x1/2 c) y = x1/2 sin-1(pi x +2) d) exy+2 = ln…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The general solution of (D²+2D +1)(D²+4)y=0 is A y=(C,+Cx)e+C,cos2r + C ,sin2r B…

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

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Q: Show each step to solve the following system using systematic elimination + 3 \dx v + 5s = sin2x…

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Q: DON'T USE CHATGPT Solve the following equation by canceling operator y"+y = 3x sin(x) (In the answer…

A: First of all we find the auxiliary equation for the corresponding homogenous equation. Find the…

Q: Differentiate: y = cos(5 e* ) e11 COS

A: Ans is. option a)

Q: d du 1) (sin-1u] dx %3D 1-u2 dx -1 du 리는 [cos-1 ul = dx V1-u2 dx d 1 du 3) = [tan-1 u] dx %3D 1+u2…

A: I have solved first three part for other repost question

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

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Q: ſe^(3-z) sin(2+z) dz *

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Q: dx 2x

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Q: The general solution of (D²-2D+1)y=2sin x A) y=ce*+C2xeX+sinx B) y=c1eX+C2xex+cosx y=C1eX +C,XeX…

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Q: dv +w + v = 5 In solving differen tial equation system dx v(x) =? dw dv 9v = 10e*, dx dx A) v(x) =…

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Q: S -1 sin y³ +1 2 dydx

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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: Find dy: dx 1) y = = = tan // -1/3 333 2 y = sec¹ 5x 3) y = cos cos2x 4) y = cot" ¹ 2 ² + tanı X/N…

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Q: 1) S“(cosx)" dx. 2) Г(-4). 3) В (10,9) 4) Sº x° e-2* dx Ja-x)i 5) o

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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: y"-2y'+y = e* Inxr

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