Using the substitution *=vy, dx=vdy + ydv the DE (1+2e*ly) dx+ 2e*/ (1--) dy=0 y reduces to the separable DE

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

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Q: Differentiate y = VIn x 2 Inx +1 A. 2(In x)2 3. Inx-1 3 (In x)2 2 Inx-1 C. 2(In x)2 13 1. D. 3) 2(In…

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Q: 5x^4cos^2ydx-dy=0 find its DE

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Q: Integrate S (2x+1) Staz+X+4) dx

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Q: Find/ S dy

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A: The function is The aim is to find the derivative of the function

Q: Solve the equation xydx - (x + 2y)2dy = o A ewy = cy³ (xy) B ewy = c y³ (x-y) c) exy = c y³ (x+y) D…

A: Given : Note : There is a print mistake in the given equation it must be written as : Differential…

Q: 2y*+1 dy 3

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Q: (b)* Show that Y' is closed.

A: Actually we shall show, closure of the set = the set. Then this set will be closed.

Q: dy If y = ( a² +1) (x³ + 3) dx %3D O 5x^4 + 3x^2+ 6x 6x^3 O 2x + 3x^2 O 2x^2 +2x+ 3x^5+9x^2…

A: Question 1,Given,            y=x2+1x3+3To find: dydx

Q: Which of the following equation is a variable separable DE? a. (x + x^2y) dy = (2x + xy^2) dx b. (x…

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Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: dr(sec'x) dx

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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…

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Q: Evaluate: [(5x* - 2х* + 3х - 4)dx

A: Evaluating the integral

Q: Differentiate, hcx) = In (x-Vr

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Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

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Q: Sel+x3/2 Vx dx ,1+3 X,

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