9. Find the particular solution of y" - 2y' + 5y = 0 subject to the initial conditions y(0) = 1 and y'(0) = -2. Ans: y = e* cos 2x-e* sin 2x

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A: Given that ϕ=1x2+y2+z2

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A: Given: Now,                sin(2x)dx+cos(9y)dy=0Integrating both sides we…

Q: 1)

A: Solution ) 1) in the first graph   We see that  In every value of x , y value is constant which is 2…

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Q: A- Answer the following 3s-1 s²+2s+5 L-1.

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√s s4

A: A detailed solution is given below.

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A: The given graph is:

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A:

Q: √3 3-x² √√3√ √√3-x²√1 4-x²-y² 1 dzdydx

A: Explanation of the answer is as follows

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Q: please do the second (b)

A: Let's find volume when rotated about y axis.

Q: show that $(x, y, z) = 8²4 PDE : 2²4 дуг дуг + 1 2 x² + y² + z² 824 dz² satisfies the

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Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2), 35544 2

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A: We have to find the circulation of F→.

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A: Given, ∫ 2+1xlnxdx

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Q: Which integral gives the arc length of the curve over the interval from t = a to t = b?

A: This is a problem related to integration. Based on the general formula of length of arc we will…

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Q: I. 7. Evaluate each determinant. -3 4 -5 2 -3 -5 1 3 5

A: To evaluate the determinant -34-52-3-5135

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Q: Differentiate the function with respect to y. A Z = + Bey уб Z' + Bey = 8A 9 y 20 -

A: In this question we have to differentiate the function with respect to y.

Q: • show that (x, y, z) = PDE : 2²4 ахг 824 дуг + 2 x² + y² + z² = 0 8²4 dz² satisfies the

A: This question can be solved using the concept of partial differentiation.

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Q: need

A: We will solve the problem.

Q: = 10. Find a second-degree polynomial P such that P(1) = 7, P'(1) = 7, and P"(1) P(x) = Need Help?…

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Q: 9) y = вод по- 10) У th 4x 1+₂x exbx

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Q: Determine the roots of y"" - 4y" + 3y = 0

A: