y = C, e3x + 2C2 sin3x

Q: 5. Find : 60 y= (b) y = cos (11x³ + 5x). dx

A: SOLUTION-

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A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x…

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A:

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A:

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A:

Q: b) sin 3x

A: Let's find.

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A: A detailed solution is given below.

Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x2 2

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A:

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A:

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A:

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A: According to new guidelines if a question contains more than 3 subparts we have to solve only 3…

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A:

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A: The solution is given as

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Q: (c) Show that e* sin(x²)dx < e – 1.

A:

Q: Derive y = e*+1 sin x³,

A: To find the derivative of the given function we use product rule of differentiation,  chain rule of…

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A: Given, the equation sin u = -1, we have to solve this equation in [0, 2pi).

Q: . Eliminate all the arbitrary constants in the equation as follows: y = Ae2x- e-5x (B cos 2x + C sin…

A:

Q: Consider b. () 2: x dx e-2 sin 5 a

A:

Q: C. y = e2x sin²(3x)

A: We use product rule to find derivative for part c

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A:

Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e-5x (B cos 2x + C sin…

A: To eliminate all the arbitraty constants in the below equation. y=Ae2x−e−5xBcos2x+Csin2x

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Q: I. Eliminate the arbitrary constants -3x y= C, e sin2x + - 3x Cze cos 2x

A:

Q: y = (cos(3x))*

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A:

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A:

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A:

Q: Solve the Bernoulli equation below: du dx +u tanx = u³ sec¹ x

A: Solution:-

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A: the given integral is: ∫π2πx3cos(x2) dx we have to find the value of the given integral.   let the…

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A:

Q: 1 and y' CO)

A:

Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e -5x (B cos 2x + C sin…

A: Solve the above question.

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A: To Determine: find the integral ∫cos4xdx Given: we have an integral  Explanation: we have an…

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A: To determine the differential equation from the solution  Check the number of constant in the…

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Q: e through C x sin-

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Q: S dx = sin-1+c 9. V6x-x2 3

A:

Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x?

A:

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A:

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A:

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A:

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A:

Q: 3. y = e³×(c, cos 2x + c2 sin 2x)

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

Q: b) ſ e2x sin 3x dx

A: