Solve for the solution using variation of parameters: (D2-1)y= 2/(1+ex)

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A: Here, the given series is: ∑n=1∞7n2(2n+1)! Let, an=7n2(2n+1)!; n≥1

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Q: Q₁: Revers the order and Evaluate in 는 I S dx dy y

A: Given integral is ∫-212∫y1-ydxdyx limits are x=yx=1-yy limits are y=-2y=12By inversing limitsy…

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A: To solve the given trigonometric equation.

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A: Given that  cosθ = 15 and θ is in quadrant IV. We have to find the value of  sinθ.

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Q: 1. lim x→-1 2. lim x →-00 1+ x 2x²+x-1 :-√√x² √√x² + x x- 2 x - x

A: Given:     limx→ -11+1x32x2+x-1

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Q: 17. Let y = 4t² + 3, t = 6es and s = 1 + In x. Find in terms of x. dx 18. Given y = 5t (3 - t), t =…

A: Let's find.

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Q: Match the vector field with its graph. F(x, y) = yi 1 |||||||||| 三 6 靈

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Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y =…

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Q: Prove the identity. COS X 1-sin x 1+ sin x COS X Note that each Statement must be based on a Rule…

A: Solution )  cos x / ( 1 - sin x ) Multiply cos x in numerator and denominator =cos x × cos x /  […

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Q: Σ(+6) της

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Q: - y' + y = 2 sinx when y(0) = -1

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

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A: To write the given equation in the form of y  = mx + b.

Q: 7- Differentiate Y= f(g(x4)) h³(√x)

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Q: what is the derivate of sin(x)cos(x)?

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Q: of a rectangle.

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A: Given data÷

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Q: If In a 2, ln b = 3, and ln c = 5, evaluate the following: = (a) In (10-2) = b-4c² (b) In √6-³c-²a-1…

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Q: if x ≤ 2 f(x)= [2x - 5], if 2 3 1. Determine if f is continuous or discontinuous at r = 2 and r =…

A: Solution of the problem as follows

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Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle 8. cos(8)= 4…

A: Given:     cos θ = 4/5

Q: Problem 4 For x,y,z E R 5x +y Given: 2x - 2y 3x +3y and xyz = -48. Find: S = x+y+z +z = 0 +2z = 0…

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A: Solution is given below:

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Q: (b) y=x-6, (1, 1)

A: answer is in next step