4Sin (x)+6cos(2X) where gco)=2

Q: d²y Show that y = sin(2t) satisfies . + 4y = 0 dx²

A: 1) To prove the given equation 2) To find the value of w

Q: C3x -y sin xy) de - x sin sy dy o HSin

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Q: For y=x-3x+7, find dy, given x=1 and Ax=0.3. dy =(Simplify your answer.) %3D

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Q: What is ∫3x^4(−x^5+5)^4 dx? Do not include the constant "+C" in your answer. For example, if you…

A: We have to find solution

Q: e a) y"+ by 19y x² + 1

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Q: x³Væ² + 1 dx

A: Solve the integration

Q: plve y - 4y = (x – 3) sin 2x, the method of undetermined coefficients.

A: We are asked to solve the differential equation.

Q: For y = x° - 2x + 8, find dy, given x= 4 and Ax = - 0.2. 3 dy = (Simplify your answer.) %3D

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Q: ?The Third Equation for i3 7in+12i3-=-3-O 5i1+12i3=0- Zir-4i2+16i3=-3- 0

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Q: y = (In(x))cos(4x) y'(x) = %3!

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Q: y= (1+x?)tan x- x? y' = 1 + xtan1-2x y' = 1 + xtan -2x y' = 1 + 2xtan 1-2x y' 1 + 2xtan -2x y'…

A: In this question we are required to calculate the derivative of the function.

Q: 3. Pcx)= 2x²-2x-5 C xo= 1, X,=2 %3D

A: the root of the above equation after 3 iterations is x=1.524   explanation is given below

Q: fcos cos² xdx 2.

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Q: d) f(x) = sin x,-n/2 < x < 5a/6 e) f(x) = sec x, – n/3 < x <n/6 %3D -

A: (d) f'(x)=cos xf'(x)=0⇒cos x=0⇒x=π25π6-π2=5π6-3π6=2π6&gt;0⇒π2∈-π2, 5π6f''(x)=-sin xf''π2=-sin π2=-1…

Q: cosh (2 m(x)) dkr (A) 를 + +c (B) 0 (C) (D) sình(2 m(r)) +e (E) है - c

A: Solving the problem by finding the value of the integration.

Q: Find for the following by using appropriate rules: dx i. y = Vt , x= ++1

A: Differentiate y and x w.r.t 't' And, Recall quotient rule

Q: using undetermined coefficients (D^2-2D+2)y=24e^x sin3x

A: Given: (D2  -2D+2)y=24ex sin3x

Q: B) Express Co5(2) in the form u+1 V

A: As per our guideline we are supposed to solve only one question you can repost other questions in…

Q: Xy = ý+2xy is DE, solve it:

A: ..............(1)

Q: pproximate using differentation:  e0.99 Please show step by step solution.

A: This question can be solved using the concept of approximation using derivatives.

Q: x³ Vx² + 1 dx

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Q: 2 ydx + x(x In y – 1 )dy = 0 %3D

A: Given that: 2ydx+x(x2lny-1)dy=0

Q: ® SS sin (2x) – T dA R- (*14, "/2] x [O,1]

A: In the given question, concept of integration is used. Integration Integration is a method of…

Q: (d) y' + 2 sin 2nx = cosh 3x %3D

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

Q: x®w + w® + wz² + 4yz = 0 dz

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

A: Given differential equation x(x-y)dy= -(3xy-y2)dx   To test exact or not ,if it is exact then solve…

Q: Se lnx? cix = In x 13. A 1 + K 3 + K C. ei+ K D 2 -eln x + K -3113

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Q: cos²ysiny + xcos®y – 3 = 0 dæ dy

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Q: ds 13. dt 1 s tan = CSC -- | 2 2 2

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

A: ∫x3e7x4dx

Q: 사 (R,G) be Hh ft "y op.on R 사OA = Co1]. Find R.

A: Given that R,τL is the left ray topology on R that is, τ=ϕ∪R∪−∞,a;a∈R and A=0,1 (i) To find A−

Q: D{tanh n}n=1 00

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Q: 1 f(z)dz? 2ti. What is

A: This is a problem of complex analysis.

Q: 1. y = xsin(x + A) 2. y = C,sin3x + C2cos3x + x² – 9 3. y = 3Asinx – 2Bcosx

A: Please see the below picture for detailed solution.

Q: B) yk+2 - Yk =k sin k

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Q: Sulve the ea Mation in the inter val [02). for solutions Cos 2X =1

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Q: Check for exactness and obtain the general solution. 1. -x(4y3 – 3xy – 6)dx – (6x²y² + 1- x³)dy = 0

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Q: 2U y'sy tan(x) 2) yy's 2Xes

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Q: z) tan(y2 + %3D

A: Given that, wx,y,z=tany2+4zx3x=r2t2y=r2tz=rt2 Then we get,…

Q: n f(z) = e=y sin x

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Q: 13) y = -4 Sin ( 2x ) + 4 a. b. 10 d.

A: We have to  graph the function

Q: COS T2² (z−1)(z–2) ed) is equal t

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Q: r = 1 - cos 6 x* + y* + 2r?y? + 2r³ + 2xy² – y² = 0

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Q: 2. Determine the general solution to the equation y' + 2xy = e-2". %3D

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Q: On Co1 defmed s and I = © x(0) TU Commute? nespechive ly. Do S and T Commute? End ISI ITILSTIL and…

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Q: Find the general solution of  (D^4+D^2)y=3x^2+4sin(x)-2cos(x) using method of undetermined…

A: The question is solved by using method of undetermined coefficients.

Q: Using the Method of Undetermined Coefficients, give an appropriate guess for yp. y(4) + 9y" =…

A: Given the DE is y4+9y''=cos3x+4x2. Guess the particular solution of the DE.

Q: | 8(x + 1) (2x2 + 4x – 1) dx 3/2 5.

A: For the given integral- I=∫8x+12x2+4x-132dx Let u=2x2+4x-1 Differentiating w.r.t. x to both sides-…