Find a general solution of the given ODE: (a) y"-3y" +4y'-12y=30 cosx-16e²* (b) y"+2y"-y'-2y=14e* +6x-1

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Q: Prove:

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Q: 6. Obtain the value of x from the following equations a) 67-* = 62x+1 b) log₂ (x²)- log₂ (x - 2) = 3

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Q: 5. Determine the period of the sinusoidal function y = 0.75 cos 90°x -0.5. a. 4 C. -0.5 b. 90° d.…

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Q: exists a fune 4x₁² + 5y = 9 (2xy(1²²-²) = 0

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Q: Problem #1: If f(x,y) is differentiable near (x, y) = (a, b), and u is any unit vector, consider the…

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Q: I don't understand this.

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Q: In Exercises 5-12, evaluate the determinant of the given matrix by cofactor expansion along the…

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Q: 11. What point (if any!) on the curve h(x) = x³, does the normal have a slope of 15?

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Q: 2. As we will study in the coming weeks, the one-dimensional motion of a mass attached to a spring…

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Q: 3. Determine the amplitude of the sinusoidal function y = −3 sin[2(x − 60°)] + 1. a. 2 -3 b. 3 60°…

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Q: F(x,y,z)= and C is parameterized as r(t)= you may assume VXF=0

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Q: Suppose that a room containing 1000 cubic feet of air is originally free of carbon monoxide (CO).…

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Q: B₂ = {(2₂1 X12 X22 |xij≥0 for i, j = 1, 2, X11 + 12 = 2, X21 + x22 = 2, x11 + x21 = 1.5, x12 + x22 =…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts…

Q: Nutrition Use duality to answer the following application. Oz makes lion food out of giraffe and…

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Q: (x, y, z) = 6xy + 4yz + 6y-3z² - y² subject to x + torder conditions. are of the extreme points.

A: Consider the function  subject to .Let .

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Q: 28. Show that if A C C and BCD, then AX BC CXD

A: Below complete solution is Given.Explanation:

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Q: Q3) a) Evaluate x-²1₂(3x) dx. b) Expand the following function in a Fourier Bessel series using…

A: a) Evaluating the integral  This integral can be solved using integration by parts. Choose the…

Q: n = 3-Ux+Uy=

A: Given partial differential equation is .We have to find the solution of the PDE by separation of…