2. Solve by using an integrating factor. (a) y' + 2ty = 2te¯ %3D

Q: 1. 2ydx + x (²+x²y) dy = 0

A:

Q: 3. Solve the following equation using the determination of integrating factors. 1. y(2x – y + 1)dx +…

A:

Q: Which one is an integrating factor for the equation y(2x – y+ 1)dx + x(3x – 4y+ 3)dy=0? 9020900 et

A: Given that, y2x-y+1dx+x3x-4y+3dy=0                               ……(1)   The above differential…

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: Proceed as shown below...

Q: Find the general solution of the differential equation. (Use C for the constant of integration.) 4x2…

A:

Q: What is the integrating factor of the equation (2xy*ev + 2xy³ + y)dx + (x²y+ev – x²y² – 3x)dy = 0 A…

A: We have to choose the correct answer from the given option according to the given condition

Q: (10xy + 8y - 32y +7)dx+ 2(x +2xy– 4x)dy =

A: To solve the differential equation , I have used the method of exact differential equation and then…

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: The given differential equation is: dydt=45t4

Q: 2. Solve the ff. equation using integrating factor. dy 2y – e3r dx

A: Given: dydx=2y-e3x

Q: What is the integrating factor of the equation (2xy*e" + 2xy³ + y)dx + (x²y*e» – x²y² – 3x)dy = 0

A:

Q: Q1. Solve the IVP by finding appropriate integrating factor an (x² + y² – 5)dx – (y + xy)dx = 0,…

A: Consider the given differential equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution…

Q: 2ydx + x(2 + x²y) dy = 0 %3D

A:

Q: Find the general solution of the differential equation. (Use C for the constant of integration.) dy…

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Q: x + 4) (y + 1)) dx + (y (x +3x + 2)) đy = 0

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Q: Solve the differentfial equation by Using the method of integrating factor for e= dy 24. 2%. dz e-x

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Q: Find the general solution of the differential equation y" + 2y' + y = 8e*. NOTE: Use C1, C2, for the…

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Q: Find a set of solution. Integrating factors found by inspection.   y(x2 + xy2 - 1) dx + x (x2 + y2…

A: Given the differential equation y(x2 + xy2 - 1) dx + x (x2 + y2 +1) dy =0. We need to find the set…

Q: Use the integrating factor technique to solve the following differential equation and its initial…

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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: Find the General Solution using integrating factors found by inspection У(2х — у + 1)dx — x(3х — 4у…

A: We have to find the general solution of the following differential equation using the integrating…

Q: 7. (xy² – 2y)dx + (3 – 2xy²)dy = 0

A:

Q: What is the integrating factor of 2 (y – 4x2) dx + xdy = 0 72 2x

A: Solve for integrating factor

Q: Solve the given problem on Integrating Factor for Non-Exact Differential (1 + y?)dx + (xy) dy = 0…

A: Given non-exact differential equation1+y2dx+xydy=0HereM=1+y2N=xyanddMdy=2ydNdx=y

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

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Q: SHOW YOUR SOLUTION: Solve the constant of integration of the given differential equation xdi+6ydy=0…

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Q: Given the differential equation dy +y dx=2xy-e* dx what is the value of the integrating factor?

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Q: Find the general solution of the differential equation 15e* y" – 2y' + y 1+ t2' NOTE: Use C1, C2,…

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Q: Solve using the integrating factors by inspection (y²-3-x) dy + ydx =0

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Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x + x³…

A: Given that ydx+x+x3y2dy=0Solution :ydx+x1+x2y2dy=0this diffrancial equation in the…

Q: Find the general solution of the differential equation. (Use C for the constant of integration.) dy…

A: Separate the variables . i.e, separate variables of 'x' and 'y'  and integrate .

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

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: (x²y)dx + (x³ + 2y³)dy = 0 ||

A: According to the given information, it is required to solve the differential equation using…

Q: 6. (3x²y+ 2xy + y³)dx + (x² + y²)dy = 0

A:

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

A:

Q: Find the general solution of'the differential equation and check the result by differentiation. (Use…

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Q: Solve using the integrating factor by inspection  (2x²y - y²x + yx) dx + (3x³ - 4x²y + 3x²) dy = 0…

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Q: 1. y(4x + y)dx – 2(x² – y)dy = 0

A: We will first convert the equation to exact and then solve

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

A:

Q: With the aid of an appropriate integrating factor, calculate the initial value of the equation…

A: Given differential equation is dydx+2xy=e−x2......1 and initial condition is y0=1. We have to find…

Q: 3. Show that the DE is not exact, determine the integrating factor, make it exact and solve. a. (2y…

A: The given differential equation is…

Q: (u* + v*)du – uv'dv = 0

A: We have to find

Q: Find the general solution of the differential equation y" + (wo)²y = cos(wt), w² # (wo)². NOTE: Use…

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Q: Find the general solution of the differential equation y + wóy = cos ot, w² w%. Use C1, C2, C3,...…

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Q: x²y" + 3xy = 2 O -y

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

Q: at is the integrating factor of the given differential uation? (2y3 – x*)dx + 3x²ydy = 0

A:

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: Solve using the integrating factors by inspection and get the general solution of…

A: The given differential equation is, yx2y2+2dx+x(2-2x2y2)dy=0 Now rearrange terms as below:…

Q: Solve the differential equation Integrating Factor by Inspection: (x* – y*)dx + xy³dy = 0

A: Given differential equation is x4-y4dx+xy3dy=0. Solve the differential equation.

Q: 3. Find the solution to the equation 2ydx – 3xy*dx - xdy = 0 using integrating factor by inspection.…

A: First we find integrating factor to make it exact differential equation.  Then find it solution.

Q: Find the general solution of the differential equation. (Use C for the constant of Integration.) dy…

A:

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.