For each first order ODE, state why or why not the ODE is separable, linear, and/or exact (each one may be more than one). Then, solve each ODE with each of the techniques that apply. (a)dy/dx=(xy + 7y + x + 7)/(3x + 5y + 15 + xy) (b) (√1 − x2)dy/dx = 3 − 5y

Q: Find + 7)(x – 2)dx

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Q: 64 dx. V Evaluate

A: The detailed solution is given below Thank you

Q: X(35X [En(x) ? dx

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Q: -(sinox) 6 d dcos³x

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Q: Evaluate the function shown

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Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

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Q: 2х — 1 dx х2 — 8х + 15

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Q: √ (cot² x - 7) dx

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Q: v5-x dx

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Q: Vx+I dx. Vx +1

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Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

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Q: So dx VL-4X2

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Q: (2x + 1)1º x² dx

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Q: (² X x2 + 4x + 13 dx

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Q: 1 dx Vx2 -9

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Q: b. It is known that on the integration interval -1 <x< 3, for the integrand function f (x): 2.2 <…

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Q: S sec²(3 – 2x)dx

A: ∫sec23-2x dx Put, 3-2x=t⇒0-21=dtdx⇒-2 dx=dt⇒dx=-dt2

Q: Find the following

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Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: Evaluate 2x-4 (x-3)(x-1)(x+3) -dx

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Q: Q2\ Evaluate : fot√x dx

A: The given integral is ∫cot2xxdx use the identity  cosec2x-cot2x=1 cosec2x-1=cot2x therefore the…

Q: fx x tan x dx

A: We can find the integration using integration by parts as below.

Q: 2Smx-Cosx+5

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Q: Find dx x+8x + 12

A: In this question we have to find integration by using partial fraction. We have 5 properties in…

Q: ay 3y fobit 2

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Q: (2x³+x-1)dx 1. S x3+x²-4x-4

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Q: (1-2х)2 dx 3.

A: Given :       ∫1 - 2x2x dx   To evaluate the given integral.

Q: (15x - 8) 226

A: Given,