An integrating factor (of the form u(x, y) = x" + y") for the DE. ydx + 5xdy = 0 is O is + y * + y? +x1

Q: The integrating factor of the given DE are already given below. What is the value of “n”…

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Q: 1. 2ydx + x (²+x²y) dy = 0

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Q: The integrating factor of + 2.xy= 5x² is dx dy а. b. x2 e 2 C. 1 d. et

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Q: Inx dx, 2. Integrate (1) using the substitution u = In x (ii) using integration by parts.

A: Integration by substitutions and by parts

Q: (x² y3 + 2y)da + (2.x – 20° y²)dy = 0

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

A: This question is based on Differential equation.

Q: 2. 2y (x²-y tx) dx-(x²-2y) dy = 0

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Q: Find the integrating factor of : zydz = (x² + 2y²) dy 1 a. µ 2у3

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Q: 3 Estimate e2* sin(x) dx 1 using the Trapezoidal Rule with n = 1,2,4 and 8 segments 2) using Romberg…

A: Part (1): (a)The trapezoidal rule stats that:

Q: Find the simplest integrating factor u(x) of - xy' = (8x + 9)y + x In(x). µ(x) = %3D

A: As the given equation is an first order differential equation ,we can find integrating factor.

Q: -3dk + (xy²– x²) dy = 0, -2 -2 x*)dy = 0, Integrating Factor = x

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Q: The integrating factor of the given DE are already given below. What is the value of “n”…

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Q: the integrating factor of the non exact DE ydx-xdy=0 is -1/x^2,show your solution

A: We will solve the problem

Q: y(x* – y²)dx + x(x* + y²)dy = 0

A: Let us consider the differential equation,  Where M and N are the function of  x and y. If the…

Q: 2xydx+(x2-y)dy=0

A: We have to solve given problem:

Q: • The integrating factor of the given DE are already given below. What is the value of "n" y²dx…

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Q: 4. Is y' = sin (ty) separable a) not separable c) separable %3D b) for y =, yes d) with a proper…

A: We have to check whether the given differential equation is variable separable or not.

Q: The integrating factor of the non-exact DE: ydx – (x + 6y²)dy = 0 is x-2 y-2

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Q: • The integrating factor of the given DE are already given below. What is the value of "n" 4y²dx…

A: Given: 4y2dx-x2x3+ydy=0 for finding integral factor of given differential equation, first we…

Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-7)dx…

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Q: 1. Evaluate the integral 2 1-2 8x cos y dy dr y - 4 by reversing the order of integration.

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Q: 1. Evaluate S(x + y)dxdy by reversing the order of integration.

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Q: What is the integrating factor of the linear DE of order one ydx + (3x – 2y+ 5) dy=0? 1 A x² B y3 C…

A: Given linear differential equation is y dx+(3x-2y+5)dy=0 ⇒dxdy+3xy-2+5y=0⇒dxdy+3xy=2-5y Which is…

Q: Determine the Integrating factor of the DE: y (x³e*y y) dx + x (y + x³e*y) dy 3 1

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Q: An integrating factor of (x³y² + x)dy + (x²y³ – y)dx = 0 is (a)수 (b) (c) (d)을 2xy 2x

A: Given differential equation is x3y2+xdy+x2y3-ydx=0

Q: What is the integrating factor of the non-exact DE (4xy+3y² – x)dx+ x(x+2y)dy =0 2 A 2 © x²

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Q: Use an integrating factor to solve the IVP y'+ytan x = cos x, with IC (x, , Yo) = (0,7), %3D and…

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Q: Solve for the general solution of the given DE by using the integrating factors found by inspection.…

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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: Find the integration inner product on C[–4, 1] of the given functions. f(x) = 15x g(z) = 3r* (f, 9)…

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Q: 1. Evaluate the integral r4-x² 8x cos Y dy dx Y – 4 by reversing the order of integration.

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Q: Find the total differential of  w=x3yz+xy+z+3

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Q: What is the integrating factor of 2 (y- 4x) da + rdy + xdy = 0? O 2x

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Q: I. Integration by pa 1. Su²sin2u du 2. S y²e2ydy

A: The given integral is,1.∫u2sin2u du2.∫y2e2ydy

Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

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Q: Find the integrating factor of the given Non-Exact DE y (4x + y) dæ – 2 (x² – y) dy = 0

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Q: Obtain the integrating factor of (2* y² + v) dæ + xdy = 0 O ary 1

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Q: x²y" + 3xy = 2 O -y

A: see below the answer option (d) is correct

Q: • The integrating factor of the given DE are already given below. What is the value of "n" y²dx…

A: In order to find the value of 'n', follow the following steps.

Q: is 1/(y^2) is the integrating factor of the non-exacr DE[(y^2)-y]dx+xdy=0, show your solution.

A: Given: y2-ydx+xdy=0 So, M=y2-y ; N=xNow,∂M∂y=∂y2-y ∂y=2y-1∂N∂x=∂x∂x=1 As we know that the expression…

Q: What is the integrating factor of the non-exact DE (4xy+3y²-x) dx + x(x+2y)dy =0 ? (A) x² 1 B (U) D…

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Q: I. Using Integrating Factor dy 3 a) -y = x3 for y(1) = 4

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Q: 1. Evaluate the integral 2 4-x² 8x cos y y-4 by reversing the order of integration. dy dx

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Q: 12

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Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

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Q: Find the integrating factor of : 2y(x2 - y+ x )dx + (x² – 2y)dy = 0 ху O y 2х e2x

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Q: If H is the integrating factor of 6xy dx + 5(x² + y)dy= 0, then compute H(8). A 1 в) 2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.