What's the solution of the following ODE y/ - 4 y = x a. C1 e* + C2 e* - 1/8 + x²/4 b. C1 e2x + C2 e 2x - 1/8 - x2/4 C. others d. C1 ex + C2 e* + 1/8 - x²/4 e. C1 e2x - C2 e2x - 1/8 + x²/4 f. C1 e2x + C2 e 2x - 1/8 g. C1 e2x + C2 e 2x - x²/4

Q: If ly + 5| I-

A: Solve the inequality first:-

Q: 3. a. Find the intervals of increase and decrease for the following. y = 2x² - 8x + 1 b. y=x² + 160…

A: A function f (x) increases in the interval I if f'(x) > 0 for all x in I.A function f (x)…

Q: -4 3 2 -1 -4 -3 -2 -1 1 2 4 -1 -2 -3 --4 3.

A: To find f(2) using the given graph.

Q: simpify 49. 50. + x* +x 51. x + 3 x + 7x + 12 52. x* - 4 X - 2 + + 2.

A: Since you have asked multiple questions in single request,  So we will be answering only first…

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A: Given equation is

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A:

Q: 5-x/3+x=13/12

A:

Q: x/2+x/5=5/4

A: Given,

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A: Here we have to solve the given expression.

Q: 2C + 4D = [|

A: Given that : To find 2 C + 4 D:

Q: Differentiate. 5x - 9 +x3 3x +1 g(x) = gʻ(x) = D

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A:

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A: We have

Q: 1. 2y"" Hardcore 0 7y"+12y + 8y

A: To solve the given differential equation.2y'''-7y''+12y'+8y=0

Q: Differentiate. 5x-9 .3 g(x) = 2x + 1 gʻ(x) = D

A: