2) Obtain a particular solution for d*y d?y dy + +y = x³ + 2x +1 dx4

Q: Find the general solution of d²y dy 4- + 4y = 0 - %3D dx?

A: The given differential equation is d2ydx2-4dydx+4y=0.

Q: The standard form of 3dy – xydx = 3y³e¹x/³ by Bernoulli's equation is: dx A d 2=3e dy ху B D…

A: Solution : Given that

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: Solve the particular solution of the given DE: x(r^3-xy^2+2y^3 )dy-y(r^3+2y^3 )dx=D0 @r=1, y=1.

A: We have to solve given problem:

Q: Find the set of solutions (3x – 3y – 2) dx – (x – y + 1) dy = 0. - - %3D

A: Given differential equation is linear, we will use substitution to solve it

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

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Q: Reduce the given DE into Bernoulli's equation: - 2x*y¬ dx 3 y-4 dy_ y5 2x4 y4 dy dx dx 3 3 dy 2x* у…

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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 when x = 1 and y = 1 3 y°) dx 3 - x(x + y) dy = 0

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Q: dx ylnx dy || y + 1 X 2

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Q: Solve for the given DE: y(y^3-x)dx+x(y^3+x)dy=0

A: first we will check this is exact or not this is not exact then we will find its integrating factor…

Q: 8. Find dy dx' x+2x given y = u³ + 4, u = .2

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Q: 2. Obtain the particular solution A. yy' 2x(y+ 1) B. (x? + 1) dy = (y² + 1) dx

A: Topic :- Differential Equation

Q: When reduced to a linear DE of order one in z, the Bernoulli's equation dy 2 +y √( 1 ) = 3x²y² =…

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Q: obtain the particular solutions satisfying the indicated conditions: dx/y=(25-x^2)^-1/2dy; y(0)=1

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Q: x(x* +y° )°(vdx – xdy)+ y°dy = 0 Ans. (x² +y³)' = 6y° In

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Q: 2x Reverse the double integral dy dx , to obtain 0. Select one: a. ry/2 dx dy x 0. b. 2 2y dx dy 0.…

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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: I. Solve for the General or Particula 1. dy dx = 3x+xy² y+x²y

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Q: Construct the Green's function for d²y dx² dy + (k?x² – 1)y = 0, + x dx subject to the boundary…

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Q: If ey 9 dy 3x and y(1) = 2, then the particular solution y(x) is %3D dx

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Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

Q: (y? + xy*)dx + (5y² – xy+ y* sin y) dy = 0 - Let M = y? + xy³ and N = 5y² – xy + y³ sin y ƏM 9. =?

A: We have to choose the correct option from the given options according to the given information

Q: Find the general solution of  dy/dx + y/x= 3/y

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Q: Solve the homogeneous DE ( xy) dx - (x + 2y)^2 dy = 0

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Q: If y =Aex +Be™ d'y -(m+n) dy. Show that + mny = 0 dx

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Q: dy dx ycos X こ y(o)=1 I +2y2

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Q: 2. Variable Separable eyx a) dy =D dx ey+x?ey

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Q: OBTAIN A FAMILY OF SOLUTION 2. (x - yny + y In x ) dx + x CIn y - In x)dy =0 3. [x - yarctan…

A: This question is related to differential equation.

Q: Solve the general Solution of:  (xsiny/x- ycosy/xdx)dx + xcosy/x dy=0

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Q: (ztan 2 +1) dx – x dy = 0

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Q: 2. Integrate dy (a) Vy* +16 (b) |6x – x² dx

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Q: dy 2) Find implicitly: dx (a) xy+3x2 =y? (b) exy – Iny =x? %3D

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Q: dy _ 2y = x-'y¯1 y(1)= 3 dx

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Q: Find the particular solution of 9 d2x d'y dy 122 + 4y = 3x - 1 given that when x=0, y=0 and %3D dx…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let y(x) be the solution of the IVP dy - (y - 3)'dx = 0, y(0)=2. Evaluate y(13).

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Q: Find the general and particular solution that satisfy the boundary condition. (3x + y)dx – (x +…

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Q: 1 calculate I f(x,y) dx and S f(x,y) dy 0. 0. 2 f(x,y) = 2xy – 3x %3D -

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Q: 2. Identify the 3rd order nonlinear DE. 3 +x³y – xy³ = 0 \dx) d³y d²y +y dx? В. = 0 dx3 d³y d²y С.…

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Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

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Q: Find the solution of dy/dx = (-x^2/y^2) + ( 1 / ( 3y^2 (x^3 + y^3)^2 )

A: Given: dydx=-x2y2+13y2x3+y32

Q: Solve the Euler equation d²y dx dy -5y = 0 dx 31 d', 3x2 given that y(1) =1 and y'(1) = 2. intai

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Q: 1. Determine the general solution of (x 3y )dx – x dy = U

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Q: d*y 2) Obtain a particular solution for d²y dy + dx + y = x3 + 2x +1 dx4 dx?

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Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1

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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: Evaluate: [S y² dV where E the solid hemisphere x² + y² + z² 0

A: We have to evaluate the triple integral ∭E y2 dV on the solid hemisphere x2+y2+z2≤9. Observe that…

Q: The solution of (1 – y² )dx + (1 + x² )dy = 0 is: %3D

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Q: 1. Find the solution of dy xy %3D dx (1+x)(1+y)

A: The given problem is to solve the given ordinary differential equation. Given differential equation…

Q: b) Evaluate the triple integral S dx dy dz re3 1 xyz

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