"Ct) + y'Ct) - 2 yct) = H Ct> y'co) = 6 where ond yro) = 0 t +1, # Ct) 2t 4う > 2

Q: Question 16 Eind y' when ye? = 3y+ x and y(0)-3 -5 B -7 -4 -6

A:

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A: We are solving the first question and for the next question post the question again and also mention…

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A: On simplification, we get

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A: The solution is as shown below

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A: Recall: dxndx=nxn-1

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A:

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A: Answer and explanation is given below

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A:

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A: Solve by separable variable method

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A: Ans is. option a)

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A:

Q: find dy/dx 4x -x 2x 23) y= Sin- +x².Sec 2-x + 2x.Sec) 2 (ans.: (2-2»N(2-x² - x* 4 4

A: To find the dy/dx means y' of the given function

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A: Solution :  Options (B) is correct

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A: Given- dy=1cotytanx-cosxcosydx To solve the given differential equation. Here we will arrange the…

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A: Given

Q: Find y': ○ 4kx (2kx + 1)7 ○ 4k (2kx + 1)7 ○ 8k(kx² + 1)7 ○ 8kx(kx² + 1)7 y = 1/(kx² + 1)8 ; k…

A:

Q: Y"+y=secxtanx

A: Given, y'' + y = secx tanx This is a second order linear, non-homogeneous ODE. We can write the…

Q: Series Solution Method. In each of Problems 1 through 20, solve the given differential

A: Given,         y''+xy=0;        x0=0

Q: а) у%3DIn(x? + 4)(2х + 5) b) у%3DIn (12х - 7) с) у ex2+3 ex-4 - d) y= 2x'ex e) y = ev3x+T

A: Given data:   a) The given function is: y=ln(x2+4)(2x+5).   The expression for derivative of the…

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A:

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A:

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A: Topic :- Differential equation

Q: differen tiatin, de tomine dx リ= (aH) (xs) 5 (as) (x-+)

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…