The particular solution of x dy - y dx when x = 1, y = 3 is a. y + x2 – 1 = 3x b. y + 2x2 + 1 = 6x – (1 – x²)dx = 0 | %3D c. y + x² + 1 = 5x d. 2y + x² – 1 = 6x -

Q: The particular solution of y(x+y)dx + (x +2y- 1)dy=0; y(0) = 2 by NEDE is

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Q: b) Use the initial condition y(0)= 2.14 to find the particular solution of dy -2y + x2 + 2x = 0 dx…

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Q: 2 What is the solution of the initial – value problem d²y =X O with y(0) = 1 dx? and y'(0) = -2 ? у…

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Q: Find ø(2) for a solution p(x) to the initial value problem: 2y dx = (x2 – 1)(dx – dy); y(0) = 0 %3D

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Q: 1. Find the general solution of: du dx _ _ y + xy² + x³ x+x²y+y² dy

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Q: Find the solution. Zy dx = (-1dx - dy) A (x-1)x = (y+1Xc - 2x - In|y-1|) B (x-1)y = (x+1Xc +x -…

A: First re-arrange the given differential equation. 2y dx=x2-1dx-dy2yx2-1=dx-dydxdydx+2yx2-1=1

Q: Obtain the general solution of: y(x°ey- y)dx + x(y + x°e*Y)dy = 0

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Q: A particular solution of 4x² dy dx dy 4 is vx +8.x- +y = de

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Q: ) Obtain the particular solution of (2x-3y+4)dx+3(x–1)dy =0; when x =-1, y = 2 O Find the general…

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Q: The general solution of the DE: In-2y dx – y-le-*dy=0 is A None of the given choices В 3e3* – In³y=c…

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Q: Find the Generál Solution of thc D.E using only: y: v " or x = Yy" 1:) xydx - ( x* + 3 y² ) dy 2:)…

A: 1 xy dx - x2+3y2 dy = 0      xy dx = x2 + 3y2 dy       dydx= xyx2 + 3y2→ Take y = vx          dydx =…

Q: Obtain the General Solution of dx + xydy = y²dx + ydy.

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Q: I. Find the general solution of the following: 1. dx dy -2x + 3x² dy 2. dx = 3e-2x 3. (x² + 5)dx –…

A: Differential equation problem....

Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx – (3x- y – 4)dy = 0

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

A: Given : xy3dx+ex2dy = 0

Q: 2.Find the particular solution of y (9x-2y) dx -x (6x-y) dy=0., when x=1, y=1. Let x=vy

A: Find out the particular solution.

Q: Obtain the General Solution (x-1 )dx - (3 x -2y -S) dy = 0 MAM

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Q: 2. Find the general solution of (2x-3y-2) dx-(x-2y)dy = 0

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Q: (2y +4x)dx- xydy=0 y(1)= -2

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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: Find the particular solution to DE:  ( xy^2 - x ) dx - ( 2x^2y - 3y ) dy = 0 ; y ( 1 ) = 2

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Q: Find the general solution of (3xy-y²)dx-(x²-xy)dy=0

A: As the equation is homogeneous , put y=vx and solve .

Q: the general solution. a. (e - y cos xy)dx + (2xe - x cos xy + 2y)dy = 0 b. (2ıw + w - ve"r)dv + vdw…

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

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Q: Differentiate y = (2x + 1)°(x³ – x + 1)*. Solution: In this example we must use the Product Rule…

A: Given:- y =(2x+1)5(x3-x+1)4  To find:- Derivative of y

Q: The particular solution of y(x+ y)dx + (x +2y- 1)dy=0; y(0) =2 by NEDE is A x(x+y-1) = 4e* x(x+y-1)…

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

A: Given

Q: the solution to the IVP(x2+y2)dy/dx+xy=0 with y(0)=2 is

A: Given DE is x2+y2dydx+xy=0  and y(0)=2 find the solution of the DE

Q: find the general solution of dy/dx + (3/x)y=2/x^2 as a function of x

A: Given,           dydx+3xy=2x2

Q: Given the initial condition y(1) = 4, what is the particular solution of the equation = Y Vx²+3 :?…

A: Option C is corect...

Q: b) Use the initial condition y(0)= 2.14 to find the particular solution of -2y+x² + 2x* = 0 %3D dx

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Q: Find the particular solution to DE:  2xy dx = ( x^2- 2y^3 ) dy ; y ( 0 ) = -2

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Q: What is the particular solution of (2x -3y) dx + (2y – 3x) dy = 0 when x 0 and y = 1 %3D O 22 + y?…

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Q: Find the general solution of the DE (x + y)dx + (x - y)dy =0.

A: Given differential equation is(x+y)dx+(x-y)dy=0Here, M=x+y and N=x-ythen ∂M∂y=1 and…

Q: 4. (a) dzy Solve: dx2 + ( = 0. (b) Solve xy" + (1 – x)y' – 2(1+x)y = e-*(1 – 6x) by the method based…

A: We have, d2ydx2+dydx+dydx3=0 ..i Put dydx=v ⇒d2ydx2=dvdx Now substitute in equation i we get…

Q: Find general solution of (x − 4y − 3)dx + (−x + 6y + 5)dy = 0 (DE WITH COEFFICIENTS LINEAR IN 2…

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Q: 5. Find the General and Particular solution of 2 = 3y ; y = 3, when x = 0 dy dx

A: We have dydx=3y Now, we can write this as: dyy=3dx Now, integrate both sides: ∫dyy=∫3dx⇒lny=3x+C…

Q: dr2 dx dx d²y, 7 dy , 9y 3. dr2 dy =1 at x = 1. dx = 0; y = 0 and x dx x2 4. Use the method of…

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

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Q: dy If ey dx 3x2 and y (1) = 2, then the particular solution y (x) is, O y = ln(x³) + 2 O y = x³ + e²…

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Q: Find the solution. 2y dx = (x2-1)(dx - dy) A (y-1)x (x-1)(cy +x - In|x+1|) %3D B (x-1)x = (y+1)(c -…

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Q: The solution to the initial value problem dy + 2y = ez? y(1) = 0 %3D dx is e- e (c) y = -e ez - e…

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Q: (1 – xy)-2 dx + [y² + x²(1 – xy)¯2] dy = 0; when x = 4, y = 1.

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0.

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Q: 4. Find the general solution of (x + y³) dx = 3xy² dy

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Q: d) Obtain the particular solution of (2x– 3y+4)dx +3(x-1)dy =0; when x=-1, y = 2

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Q: The particular solution of y(x+ y)dx + (x+ 2y- 1)dy=0; y(0)= 2 by NEDE is

A: Let's find.

Q: An integrating factor of y+ x+ xy² dx+ x* |dy = 0 is 3 2 4 1 A) B) x3 1 C) - D) x2

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