Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2 =C 2 - - +- x3 2ху - 3 y =C x3 y? 2xy =C - - 3 2

Q: Find the general solution of dy d²y 6- dx2 + 12- dx fip - 8y = 21e2 dx3

A: General solution

Q: What is the general solution of xy(xy³ – 1)dx + x²(1+xy)dy=0? A 2x°y³ -3x²= Cx² 4x³y? +3x?= Cy ©…

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Q: What is the general solution of xy(xy³– 1)dx + x²(1+xy)dy=0? A 2x°y³ - 3x2 = Cx? 2x³y5 -3x2 = c ©…

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Q: Find the general solution of x(x + 3)dy = 2dy + √(9- y²)(12x + 9 + 4x²) dx.

A: We will separate variables and then will integrate it to find general solution of given differential…

Q: Find the general solution of: y(x°+x*)dx - x(x³+ y-)dy = 0

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Q: Solve the initial value problem x2 dy/dx - 2xy=3y4, y(1)=1/2.

A: Solve the initial value problem x2 dy/dx - 2xy=3y4, y(1)=1/2.

Q: Calculate the solution to the differential equ y (y² + 3x²) dx + 2r*dy = 0 O x³ = y² (C – x) x²C = 3…

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Q: What is the general solution of the differential equ dy 2a/y-1 ? dr 22 - Vy-1 = C 22 - In Vy- 1 = C…

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Q: ) Obtain the general solution of y" + 2y + y = e² In r

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: Determine the General Solution of ye2x dx = ( 4+e2x %3D ) dy

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Q: 3. Obtain two linearly independent solutions valid near the origin: 3xy" +(2-x)y' - 2y = 0

A: As per the question we are given the following second order ODE : 3xy’’ + (2-x)y’ - 2y = 0 And we…

Q: Find the general solution of y’ + (1/3)y = exy4

A: We have to find the general solution of the differential equation y'+13y=exy4 .

Q: 4. Find the general solution of (x³ + y³) dx = 3xy? dy A. -3x3 + 2y3 Cx B. 7x3 + 2y3 = Cx C. -6x3 -…

A: According to question, Given differential equation, x3 + y3 dx = 3xy2 dy

Q: Give the general solution of the differential equation -5x y"+ 10y'+ 25 y =3xe a) O y=C, e*+ C,xe…

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Q: Find the general solution of using the method of variation of parameters. d²y dy 2- - 42+ 2y = xe 2x…

A: Given,2y"-4y'+2y=xe2xComplementary SolutionAuxiliary Equation is 2m2-4m+2=0⇒m2-2m+1=0⇒m-12=0⇒m= 1 ,…

Q: Show that the family of circles (x+1)2 + (y-1)2 = c2 can be interpreted as two families of solution…

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Q: What is the general solution of Xy(xy- 1)dx + x²(1+xy)dy=D0? A 4x3y +3x2= Cy 2x y³-3x2= Cx? 2x°y5 -…

A: Option (c) is right Solution...

Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

Q: 8. Find the general solution of (x2 + y2 + 1) dx + (x2 – 2xy) dy = А. х2 - у? - ху — 1%3D Сх В. х2 +…

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Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

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Q: the general solution to the DE xy3 dx +ex^2 dy=0 is

A: Given : xy3dx+ex2dy = 0

Q: What is the general solution of xydx−(x2+3y2)dy=0

A: Topic :- Differential equation

Q: Obtain general solution of the D.E. y' + (1/3)y = e*yª A 1/y³ = e* (c – 3y) B 1/y³ = e* (c – 3x) с)…

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Q: Find the general solution of (y + 1)dx + (4x - y) dy = 0 Show your solutions on a separate sheet of…

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Q: 5. Find the general solution of (x +y +1) dx +(x - 3y - 7) dy = 0 x2 - A. x2 + 3y? + 2xy + 2x - 14y…

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Q: Y, = Ax² is particular solution of y' + y" = 1 for A = %3D

A: Here, yp=Ax2yp'=2Axyp''=2Ayp'''=0

Q: What is the general solution of xy(xy5 −1)dx + x²(1 + xy5) dy=0 ? A 2x³y³-3x²= Cx² B 2x³y5-3x²=Cy²…

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Q: dy 3. Solve dx = -8xy² +4x(4x+1)y-(8x' +4x² -1) by knowing u = x is a solution.

A: Given differential equation is dydx=-8xy2+4x4x+1y-8x3+4x2-1             …(1) y=x is a solution of…

Q: The solution of the differential cquation y+2ry =3.2y when y(1)=3.2 is

A: The solution is given below in the next step:

Q: 9. Find the general solution of y(2x + y²)dx + x(y² – x)dy = 0

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Q: Solve for the general solution * (4xy+3y – x) dx + x (x + 2y) dy = 0 x' (4xy² + 4y – x) = c x²…

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Q: 2. Find the general solution of d²y dy +5 dx² dx -6y= = : 0

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Q: 3. Obtain the general solution of: (x – y)(4x + y) dx + x(5x – y) dy = 0

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Q: The general solution of (y- 1)dx - 2(x+y+1)dy= 0 by CL2V is A (x-2y)= c(y- 1)? B (x+2y)= c(y- 1)2 (x…

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Q: 1. The complementary equation to dt² + dy + 4y = 5e-³t is:

A: Solution is here

Q: What is the solution of (xy? – x) dx + (a²y + y) dy = 0 when x = 0 and y = 3 %3D O (22 - 1) (y² – 1)…

A: Exact differential equations.

Q: Determine the total solution of the differential equation (D²+8D+16)y = 64cos4x. OA.y = C₁e(-4x) +…

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Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

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Q: dy - Find the general solution of Y +2 = 3x²y² dx A. 1/(xy) = -3(x³/2) + C B. 1/(xy) = -3(x²/2) + C…

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Q: Find the general solution of d³y d²y dy + 4 + 10y = –24e* dx +9- dx3 dx²

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Q: e general solution to the DE  is(6x+y2)dx+y(2x-3y)dy

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Q: What is the general solution of (D³ + 12D³ + 36D) y = 0 ? Oy = (C1 + C3x) cos 6x + (C2 + C4x) sin 6x…

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Q: Determine the General Solution of ye2x dx = ( 4+e2x ) dy %3D

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Q: 2. Find the general solution of d³y dy dy 6- dr3 + 12 dx2 dx 8y = 21e2 -

A: To find- Find the general solution of  d3ydx3 - 6d2ydx2 + 12dydx - 8y = 21e2x

Q: What is the general solution of xy(xy³ −1)dx + x²(1+xy5)dy=0? (A) 2x5y³-3x²= Cx² B 2x³y5-3x2= Cy²…

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Q: Solve for the general solution. d³x dx -7. - + 6x = 0 dt3 dt

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Q: OBTAIN THE GENERAL SOLUTION (x - 1) dx - (3x - 2y - 5) dy = 0

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