Show for Re(2) > 1 ez - 1dr = r'(z) 5(2). %3D 0,

Q: an integrating factor for the DE dy+ydx=e3x dx is  1)ex 2)x2 3)y 4)x 5)ey

A: To find an integrating factor for the DE dy+ydx=e3x dx

Q: Find an integrating factor for the DE y(4x – 3y – 3)dx +x(x– 2y –- 1) dy=0

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Q: Let y=x2+2x. Compute Δy and dy at x=3 if dx=0.2. What is the difference between Δy and dy? That is,…

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Q: Let y = 4x2 + 4x + 3. Find the differential dy when x = 1 and dx 0.4 %3D Find the differential dy…

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Q: dy 2х + ху is separable. dx y2 + 1

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Q: Solve the DE by Integrating Factors Found by Inspection 3 1. x dy - y dx = x¹ y dy + x³y² dx X

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Q: Solve the initial value prol dy + 8, y(1) = 3 dx y%3D 4 Jx +8x 19 4 Oy=Vx + 8x - 6 Oy=-- - 8x- 6

A: Explanation and solutions is given below....

Q: y, thên thế total differential of and y O df = 11 dr + 16 dy O df = 15 dr + 19 dy O df = 12 dr +18…

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Q: So SAF+1° y¹/3 x7 +1 (Hint: Change the order of integration to dy dx.) Y dx dy.

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Q: Let y 5x? + 5x + 2. || Find the differential dy when x = 5 and dx = 0.3 Find the differential dy…

A: GIVEN: y = 5x2 + 5x + 2

Q: The integrating factor of the DE   y(2x - y + 1) dx + x(3x - 4y + 3) dy = 0 is

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Q: Find the particular solution, Using the integrating factor method: dy + In x =-y where y(1) = 3. dx

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Q: Use the Euler method with dx = 1/3 to estimate y(2) if y' = y - e2xand y(0) =1.  What is the exact…

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Q: Particular integral of dy +3 dx dy + 2y = e-2a + sin is dx?

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Q: What is the integrating factor of the D.E. 2y dx + (x- sin vy) dy =0 ?

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Q: dy 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and %3D

A: As we know that; The Power Law: ddxxn=nxn-1 From the given problem: y=x3-2x ; dydt=3 First, we have…

Q: Reverse the order of the integration dy dx sin x

A: W need to find integral.

Q: find the integrating factor (x+1)dy - (2y+2x+1)dx = 0

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Q: y_x + y х х — 1 dx

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Q: 2. y(2x – y + 1)dx – x(3x – 4y + 3)dy = 0

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Q: What is the integrating factor of 2 (y – 4x²) dx + ædy = 0? | Oe O 2r

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Q: Find an integrating factor for the DE y(4x – 3y – 3) dx +x(x- 2y – 1) dy=0_

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Q: Reducible to Exact (y3+2exy)dx+(ex+3y2)dy=0

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Q: What is the integrating factor of y (x² + y) dx + x (x2 - 2y) dy = 0? -1

A: We will find out the required integrating factor.

Q: 4. Find the double integration of [(1+xy* )dx dy. ww m

A: The given integral is ∫04∫y2y(1+xy2)dx dy

Q: The integrating factor of the equation 2y (x + y+ 2) dx + (y: – x: – 4x – 1) dy = 0 is: %3D

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Q: Use the Euler method with dx = 0.2 to estimate y(1) if y' = y and y(0) = 1. What is the exact value…

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Q: Find the differential dy. y = ex/2   dy=

A: Here the given expression is y = ex/2. Apply the chain rule:

Q: An integrating factor which convert the D. E. y p(y)dx – (Qly) – p)x)dy = 0, into exact is given by

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Q: Find the differential dy of y = tan x for x = π/4 and dx = −0.1.

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Q: dy dx=? 3.

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Q: finel cly 0- ó cost +1nt) e e (cos Ø + Ssin ø)

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Q: What is the integrating factor of the non- exact DE (4ху+ 3у?-х)dx+x\x+2y)dy %3D0 ?

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Q: 1. xy + z2

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Q: dy + 2.xy= 5x² is dx The integrating factor of

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Q: dy 4. y dx ;y(1) = 3 x(х+1)

A: In this question , Firstly we can integrate on both sides and solve the integral. After that we can…

Q: What is an integrating factor of the DE dy/dx = (y + y^2) / x ?

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Q: Find the general solution of dy (y2 + 4) In x In(y2 + 4)"* %3D dx

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Q: 2. Evaluate the integral. -2 (a) (x² – 3x) dx - -1 •3 (b) Lce L(e + 2)(t – 3) dt -2 (c) 2.9 x° dx

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Q: dr2 dx dx d²y, 7 dy , 9y 3. dr2 dy =1 at x = 1. dx = 0; y = 0 and x dx x2 4. Use the method of…

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Q: From an integral equation corresponding to the diffrential equation d'y +x + y = 0 with the initial…

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Q: The integrating factor of the DE (x^2 + y^2 + 1) dx + x(x - 2y) dy = 0 is

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Q: Find the differential of the function y = In(S - 2x) 2dx dy = (5-2x) dy = (5 – 2x )dx -2 (5-2x)dx…

A: Given : The function y = ln(s - 2x).   To find the differential of the function y = ln(s - 2x).

Q: So Sty dx dy √y(1+x²) The value of integration is very high

A: Given ∫01∫y1dxdyy(1+x2)

Q: x- y arctan (2) dx + x arctan () dy = 0

A: Given:  The given equation is    [x-y arctanyx)]dx+x arctan(yx)dy=0

Q: A. Integration By Parts 1. ſx5Vx3 + 1 dx 2. S/* x sin 2x dx 3. S- x³ex? -dx (x2+1)2

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Q: What is the integrating factor of the linear De of order one ydx + (2 – xy)dy= 0 ?

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Q: Pydx + x(2 + x²y) dy = 0

A: Topic:- differential equations

Q: Find the differential dy for the function y=3sin(2x)+x.

A: We have to find dy for the function y=3sin(2x)+x.