Consider the following differential equation to be solved by variation of parameters. 4y" - y = ex/2 +8 Find the complementary function of the differential equation. y c(x) = Find the general solution of the differential equation. y(x)

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Q: Find the derivative of Yfind the equation + e* cos 2x I = 8 Use the of the line tangent to the curve…

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Q: 3. Find V x F for F(x, y, z) = -xZ x² + y² i+ -yz x² + y² =j+ x² + y²k.

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Q: a. faxy, b. fxyx, and c. fyxx. 4 33. f(x, y) = x²y³ – e ²x

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Q: Verify the identity. (Simplify at each step.) 8 cos COS[(π/2) - X] sin [(1/2) -x] 8 COS[(π/2) -x]…

A: You must have idea about the basics of trigonometry formula in order to understand this problem.

Q: The indicated function y₁(x) is a solution of the given differential equation. xy" + y' = 0; Y₁ =…

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Q: The equation (4x-2y+5)dx +(2y²-2x)dy =0 is a lan A Bernoulli's DE B Exact DE C) LDE of order 1 D)…

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A: topic- indefinite integral

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A: We can solve this as follows:

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Q: dw Find the derivative where w=5xyz, x=2t, y=4t, and z=3t-³. 1 dt dw dx (Type an expression using x,…

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Q: 1). 5. If == In determine if the following statement is true or false. Justify your answer.

A: Given that      z = ln(x/y)

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Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

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Q: Solution:- Given H(jw) -(4+jw) 6+5jw-w² It Can Yewrite as:- (jw+4) (- : j²= + 1) 6+ (jw)² + 5jw =…

A: Concept: Partial fractions: The fractions needed to break down a rational expression are called…

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Q: Ass: 一 V EXAMPLE 6 Find the area enclosed by the line y = x - 1 and the parabola y² = 2x + 6.

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Q: for P.f. 1 D+6D+8 아라 e-24 "2 스라 1 (D-2) ² +6 (0-2) +8 e-라- , Re-4 e-라 D24D+416D-12 +8 4 D212D (나물) t…

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