1 x3 cos 2 4- x² dx 2

Q: X° COS 4-x² dx -2

A: I=∫-22 x3cosx2+12  4-x2   dx     I=∫-22 x3 4-x2 cos x2+4-x22 dx →          1       Use property…

Q: y" - 6y' - 7y = cos2t sin t Find Particular solution %3D |

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Q: (D² + 4) y = 4 cos³ (2x)

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Q: Given dy² c cos x + D sin x Cxe-* +4-5y = 2e*, the correct y, is (solve) Option 2 O Ce-x Cex Option…

A: given problem is  d2xdy2+4dydx-5y=2e-x clearly there is misprint in the first term it should be…

Q: True or False. The equation y = A sin 5x + B cos 5x is a solution of y" + 25y = 0

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Q: The solution of the equation below can be represented as y(x) = yn (x) + yp(x). y" + 3y' - 4y = 3x +…

A: To find the corresponding particular solution of the given differential equation.

Q: 2 C"(t) = –75 cos -t ) + 125 5

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Q: Find dy, y = sec ( 5- 2x) 6. where

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Q: (cos(x)) dx cos(c) 3.

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Q: Evaluate: xy² dx dy [√ 0

A: We have to find value of given definite double integration.

Q: 8. The general solution of y" + 4y = 3 sin 2x

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Q: The general solution of y" + y = sec x tan x

A: Given problem:- The general solution of y" + y = sec x tan x

Q: Q(3) Solve (D3 + D²)y = 3x2 + 6 sin x – 2 cos x

A: As per our guideline,we are supposed to answer only one question.Kindly repost the other question.…

Q: (a) /4 1+3 cos² 1 d.x; COST dx3B

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Q: Find the general solution of the equation: y' -2y = 2 sin(3t).

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Q: 12. Find all solutions for 0 <x< 2T for the equation 2 sec (x) - 7 sec(x) +6 = 0.

A: We have to find

Q: solve the di¡erential equation. 17. y′ = sin^3 x cos^2 y             18. x dy - (x4 - y) dx = 0

A: 17). To solve the differential equation: y'=sin3x cos2y Solution: Given differential equation can be…

Q: The solution to the equation is y'(x)-2y'(x)+y(x)-cos(x) slad

A: Let us consider the given differential equation y''+ay'+by=Q(x) To solve the equation  Take the…

Q: S cos²(2x)dx

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Q: (i) y= 3e –e**2 +2 sin (x² +1)

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Q: Find out if the following equation passes the test of exactness or not. If it is an exact equation…

A: We have given  differential eqiation  x+3x3sinydx+x4cosydy=0 Test for exactness: Let P=x+3x3siny and…

Q: ca/4 4. +1 x cos y dz dx dy

A: Triple integral

Q: 2. cos/2x dx

A: Consider the given integral as, I=∫0π2cos2xdx Use the following substitution, 2x=t⇒x=t22⇒dx=tdt The…

Q: 1. [D³ – 6D² + 11 D - 6) y = cos x sin x

A: To find solution of differential equation

Q: " ccos(x/4) C o y dy dx sin(x/4)

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Q: 5. Solve the equation (D + 1)y = sin x

A: 5 ans

Q: Scos(ex).cos"x dx

A: ∫cos3x.cos2x dx=∫cos(5x)+ 3(cos(3x) + cos(x)) +cosx8dx= 18∫cos5x dx + 38∫cos3x dx + 12∫cosx dx=…

Q: Find the general solution: 2y" + 3y' +y = 2e2 + x² + 3 sin(x).

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Q: 7. [2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: III. Solve using Algebraic substitution: 8. Į cos(y)#dy

A: given: the expression is ∫cosy13dy

Q: 8. y"+y = 3 cos 2.xr,

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Q: Find the general solution to the equation el + cos(x) + (xe + 2y)y' = 0 (you do not have to solve…

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Q: e: ƒ³3 ƒ²₁ ƒ¹²[z³(x + y)³] dz dy dx

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Q: cos x dx 1 - cos? x d)

A: We have to find the antiderivative if the given part d.

Q: 4 i. fx, у) %3 cos-. еx*-5у8

A: Consider the function fx,y=cos4xex2-5y3 Here, the objective is to find the partial derivatives fx…

Q: Find the General Solution (D² – 3D + 2)y = cos(e¬*)

A: We need to find the general solution of (D2-3D+2)y=cos(e-x) Note the results  ∫cosx dx=sinx+C ∫sinx…

Q: Q1) solve all these first order diff questions with appropriate method of solutions dy _ y²+xy?…

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

Q: From the following equations select the one that is not exact and solve. (x2- у) dx — х dy%3D0 1.…

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Q: Q6: Solve: A) S sec'x tan x dx dx B) S 24(x-1)

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Q: Choose the four correct steps (in order) involved in the solution of S"I (2x – sin(y)) dx dy.

A: This is a question of double integration where we need to integrate wrt 'x' first and then wrt 'y'.…

Q: Solve the following problems by the method of undetermined coefficients. 5. (D² + 16)y = 24 cos 4x –…

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Q: Q6// Solve the equation: y cos2 x dy + sin x dx = 0.

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Q: Q-3 Find the the general solution of the differen equation (D² + 25)y = csc a sin a +sin 5x cos 3x

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Q: 1. x sin y – y cos x 2. y = c,x + c2x²

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Q: Given xy' + 3y = sin x %3D find the general solution. x2

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Q: Solve : = - 3 y t16y =0 fus uwer. = 3 cos 4x- Sin

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Q: dx 3 sin x - 4 COS X

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Q: II. Determine the solutions of the following DE. 1. (х — Зу + 2)dx + 3(x + 3у — 4)dy %3D0

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…