Solve the ff. differential equations by applying the appropriate substitution. dy = 2+y-2x+3 1) dx 3x+2y dy 2) vr-1) = -1} dx 3x+ 2y+2 3) (3x–2y+1)dx+(3x– 2y+3)dy = 0

Q: The indicial equation of the differential equation 2x²y" + x(2x - 1)y' + y = 0 is: O (r-1)(r-1/2) O…

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: 2. Solve the following differential equations: (a) y' e2y = (b) y' = 1+ Y (c) xy' = y(3 – x)

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Q: Which of the differential equation has order 3 and degree 2? option I: (d² dæ? dy + 2- dr - 3 = 5xy?…

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Q: Which of the following differential equations is separable? Select one: 2t-2y +e 2t e + e2y + e2t +…

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Q: a. y" = xy' - x

A: This is a problem related to differential equation. Please follow the procedure given below. As per…

Q: SOLVE THE DIFFERENTIAL EQUATIONS. ( 3x2y + ey )dx + ( x3 + xey – 2y)dy=0

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Q: Solve the given differential equations: == 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = 2

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Q: Solve the differential equation 18y dy 12x + 10 da 9y= 4x + 10x + C 9y? = 14x2 + C 9y? = 10x + C %3D…

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Q: (D3 +5D2 +6D) у%3D24e -3х.

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Q: dy 2ху+3) 4. dx %D х2+2ху

A: We solve the given equation

Q: Solve the following differential equations 1. (D^2 - 3D +2) y = 2e^-x + 8 2. (D^2 - 4) y = 8e^2x -…

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Q: Solve the differential equations 1. (3x²2y²)y' = 2xy 2. (y² - xy)dx + x²dy = 0

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Q: Solve the first order differential equations 1 (x³ + y4)dx + 8y³xdy = 0 when x = 4, y %3D | 2

A: differential equation

Q: Solve the Differential Equations. 4. f(x,y) x² + 3xy x-2y

A: Let's find function homogeneity.

Q: Given the roots of a differential equation, m's 3,-2, %3D -2, -1tv2, what is the solution? y = cqe3x…

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Q: 8y-1 10xydx + 18x dy = 0 %3D

A: We have to solve the differential equations.

Q: Solve the following differential equations:   (2x+y-3)dx+(x-4y+1)dy=0

A: Given that, The differential equation is following, (2x + y - 3)dx + (x - 4y + 1)dy = 0 We have to…

Q: (b)Find the complete solution of the differential equation 3y" + 5y' - 2y = -2e*/3 – 5x %3D

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Q: Solve the following linear differential equations: 1] (D³ + 2D² – 5D – 6)y = 0 , y(0) =y'(0) = 0 ,…

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Q: The order of the differential equation (y")5 + 2x(y"")* – 3y' - 4x2 = 0 is - а. 5 с. 3 d. 6 b. 4

A: Given Differential Equation: yvi5+2xy'''4-3y'-4x2=0

Q: (D* + 27D)³(D³ + 5D² + D)²y = 0 %3D

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Q: If the root of an auxiliary are rı = 2+3i and r2 2-3i, the differential equation is %3D Select one:…

A: We will find out the required differential equations for given roots of auxiliary equation.

Q: he differential equation (6x2-7y)dx – 14xy dy=0 is said to be homogenous. Which of the following is…

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Q: 2x - 3y + 2)dx + 3(4x - 6y - 1)dy = 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: solve the given differential equation   7.    x2y" − 3xy' − 2y = 0   9.    25x2y"+ 25xy' + y = 0…

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Q: A solution for the differential equation dy =elx-2y is dx a. e2y 7x e +C 7 b. – e2" 2 y 7x +C 7 2 С.…

A: To find: The solution of differential equation: Given: The differential equation is dydx=e7x-2y.…

Q: Solve the homogenous differential equations of (D2 + 6D + 7)(D3 – 5D2 + 6D)y = 0

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Q: Solve the Higher order differential Equations. (Choose one only) d*y d?y 4 + 4y = 0 dx2 1- dx4 d*y…

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Q: d5y 2- 10 d*y d³y d²y + 6. dx2 + 45 dy = 0 dx5 dx4 dx3 dx

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Q: Find the general solutions for these differential equations: a. 2y²dx + (x²y - 2xy)dy = 0 b. y' =…

A: Use differential equation concept

Q: A. 2y"+5y'-3y = 0 y(0) = 1, y'(0) = 4

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Q: Solve the following differential equations (D4 + D3 + 2D2 - D + 3 ) y= 0 (D3 + 4D )y = 0

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Q: у 2y 2х + 1+ x?y?) dy = dx 1 + x²y²)

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Q: Find the general solution of the linear differential equations. (D^3-D^2+D-1)y=4sinx

A: See the details solution in below

Q: (c) Solve the following differential equations and show that their solutions are linearly…

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Q: Solve both the differential equations. 1) (y² + 1)dx + (2xy+ 1)dy = 0

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Q: Q4. Solve the following differential equations: dy x-y-2 a) dx x+y+4 b) x³ydx= y*xdy

A: Given that dydx=x-y-2x+y+4. It is same as x-y-2dx+-x-y-4 dy=0. By comparing with M dx+ N dy=0,…

Q: solve the differential equation 3(3x^2 + y^2)dx - 2xydy = 0 (A) y=c(9x^2 + y^2) B) x= c (9x^2 +9y^2)…

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Q: Solve the given differential equation. 3xvdv + (2v² – 1)dæ = 0 O (2u – 1)° = Cx* O (2u² – 1)°xª = C…

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Q: Solve the differential equation y'''− 2y'' − 5y'+ 6y = xe^3x , y(0) = 1, y'(0) = 1, y''(0) = 2.…

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Q: Find the general solution to differential equations g) (3x-2y + 2) dx + (3y-2x-2) dyzo 4) (y + x² )…

A: Solution : 3) 3x-2y+2dx+3y-2x-2dy=0 Using formulas, ydx+xdy=d(yx) adx=d(ax) xadx=dxa+1a+1 given…

Q: Solve the and many differential equation d/an (D²+1) {D-5)³y=0;

A: Given differential equation:D2+1D-53y=0To find: General solution of the differential equation.

Q: Solve the following differential equation: (3y-7x+7)dx+(7y-3x+3)dy=0 Select one: 2 a. 7In|( X-1…

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Q: (c) Find the complete solution of the differential equation 3y" - 4y' = -5x² + 3e*/2 %3D

A: We will solve the left hand side (Homogeneous part) and Right hand side     ( Non homogeneous part)…

Q: Which of the following differential equations has the function x²-y²+2xy=c as its solution? A y'=y-x…

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Q: 2. xdy+(y-xy +2)dx=0

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Q: Which differential equation has y = Ae* +Be* - 2--x 2 as its general solution? Select one: O a.…

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Q: Solve the following differential equation y"+2y'-15y 0 Select one: O a. y= c,e3x+ c,e-6x O…

A: we have , y"+2y'-15y =0Auxiliary equation is gives by :m2+2m-15 = 0⇒m2+5m-3m-15=0⇒m(m+5)-3(m+5)=0⇒…

Q: Q4. Solve the following differential equations. (2x – 3y + 4)dx + (3x – 2y + 1)dy = 0

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Q: ryda - (x? + 3y²) dy = 0

A: As per our guidelines only one question can be solved. Find the solution for first question in the…