Find the differential equation of the following function (x + 3y – 4)dx + (x + 4y – 5)dy = 0

Q: Find the differential equation corresponding to each of the following equations by eliminating the…

A: This question is related to differential equations, we will solve it using given information.

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Q: dy x +3y dx 2 ху

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A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Find the differential equation of the following function (х — у + 2)dx + Зdу — 0 a. y = x + 5+ Ce b.…

A: Topic = Differential equation

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Q: Solution of the following differential equation dx - = sec²2y dy will be а. у %3Dtan2x + с b. 2x…

A: To solve the differential equation Use variable separable method

Q: Find the value of k so that the given differential equation is exact. + kxy - 2x) dx + (3xy² +…

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Q: Solve the following simultaneous Differential equation * dy + 5x + 3y = 0 dt dx 3x + 2y, dt -

A: dxdt=3x+2ydydt+5x+3y=0Put ddt=DDx-3x-2y=0⇒D-3x-2y=0 ...(i)Dy+3y+5x=0⇒5x+D+3y=0 ...(ii)…

Q: Find the order differential equation of ddy] 6 dy dy dy +7. + 6- 3. +7 = 0 dx3 dx2 dx

A: Given that a differential equation and find the order of this differential equation. We know that…

Q: Verify that the function y = e-3x is a solution to the differential equation d2ydx2 + dydx − 6y = 0.

A: We have to verify the solution

Q: Solve the differential equation of the following (x-3y+2) dx + 3(x+3y-4) dy = 0

A: The given differential equation is  (x-3y+2) dx + 3(x+3y-4) dy = 0

Q: d. 2ydx +x(x² In y – 1)dy = 0 -

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Q: Find the differential equation of the following function (x = 3y – 4)dx + (x + 4y – 5)dy = 0

A: I am attaching image so that you understand each and every step.

Q: a) Solve the following first-order differential equations: dy = -y 2x, given that when y=0, x=+2 dx

A: We have given  -y dy/dx = 2x when y = 0 and x = +-2

Q: Find the differential equation of the following function (х +3у — 4) dx + (x + 4y — 5)dу %3D 0 а. у…

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Q: Which of the following is the solution to the differential equation dx dy with the initia condition…

A: Given: To find the solution of the differential equation dydx=x2y with the initial condition y(3)=-2

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Q: Obtain the particular solution for the following differential equation if y(n) = 1 (3x2 + ycosx)dx +…

A: Detail solution written below

Q: Consider the differential equation Y+ 2y = 4x - 3e*, given that y(0) = 1 and y (0) = 2. What would…

A: Given, Y"+2y' =4x-3ex

Q: Find the differential equation of the following function (х %3D Зу — 4)dx + (x + 4у — 5)dy — 0 а. у…

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Q: dy 2 +y- 2x + 3 ご

A: We have to find General solution of given differential equation.

Q: %3D (2xy + y)dx + (x² + 2xy – y)dy = 0

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Q: d4x + 3 dy4 d3x d²x 15 dy2 dx 32 dy 12x %3D dy3

A: The given homogenous differential equation is: 2d4xdy4+3d3xdy3-15d2xdy2-32dxdy-12x=0...(1)

Q: 2. Make up a differential equation of the form dy dt that has the function y(t) = e²t = 2yt+g(y) as…

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Q: Find the value of k so that the given differential equation is (y3 + kxy - 2x) dx + (3xy² + 12x²y³)…

A: Given differential equation is (y3+kxy4-2x)dx + (3xy2 + 12x2y3)dy = 0

Q: Solve the following differential equations of Dyy = 2 y-x; 2- yy+ %3D

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Q: Find the differential equation 3(x2 + y2)dx + x(x2 + 3y2 + 6y)dy = 0

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Q: Find the general solution of the following differential equation:  ( x + 2y - 1 ) dx - ( x + 2y - 5…

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Q: Convert the following differential equation into a Perfect equation and then Find its general…

A: I hope the perfect equation you mean is the exact differential equation. We use the exact…

Q: Find the differential equation of the following function (х — 2)dx + 4(х +у-1)dy %3D 0

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Q: 4 dx d*y d³y 8 d²y + 16 dx² 12y dx dx3 + 9 y = 0

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Q: Find the solution of the following second order differential equation d²y(x) dy +x- +x² y(x) = 0 dx…

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Q: 4. Solve the following Second Order Differential Equation dy dy + 6- d.x 9. + 5y = 0 dx?

A: Given : 9d2ydx2+6dydx+5y =0

Q: x²y = 1+ cx

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Q: Find the differential equation of the following function (x – y + 2)dx + 3dy = 0

A: Let's find.

Q: Find the particular solution of the following differential equation ( xy^2 - x ) dx - ( 2x^2y - 3y…

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Q: Use the method of Frobenius to find the solution near the point x= 0 of the following differential…

A: Dyjffjfjjgchchcgddhbcuchhchchfgycygygbcfcuhfcjfjhcyddyhfhfjggichfududhchvhdud

Q: Find the particular solution of the following differential equation ( xy2 - x ) dx - ( 2x2y - 3y )…

A: The given differential equation,        xy2-xdx-2x2y-3ydy=0 ;   y(1)=2

Q: Consider the given differential equation yx dy +y*dx = -4y³xdy and do the following:

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Q: Find the differential equation corresponding to each of the following equations by eliminating the…

A: 1. y=Ax2+Bx2. y=C1ex+C2e-x3. y=C1sin2x+C2cos2x

Q: Given the differential equation In(2x - 2)dy + d + 4y SN = 0 then what is x-1 Зху? + х х-1 O c y х—1…

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Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

A: Given differential equation is (y3+kxy4-2x)dx+(3xy2+20x2y3)=0

Q: Find the differential equation of the following function (x – 3y + 2)dx + 3(x + 3y – 4)dy = 0

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Q: Solve the following differential equation x² (y² +3) = 0 y(x³ +1) dy 3. + dx 4. xdx e-x + (y+1)dy =…

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Q: Solve the given differential equation by using an appropriate substitution dy x+3y 3x+y dx

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Q: Solve the following first order differential equation: dy y² +49 +3 35 4 x² + 2x³-3x² dx == 0 given…

A: Differential equation: 35x4+2x3-3x2·dydx-y2+49x3=0