Find the general solution of (y-zx)p+(x+yz)q=x2+y2

Q: The solution of the 2" order IVP y" - y = 0, y(0) = 0 and y' (0) = 1 is

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Q: Determine the coefficients of the equation y-ax'+bx²+cx+d so that it will have critical points at…

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Q: Find the general solution of (y-zx)p +(x+yz)q=x2+y2

A: we have to find the general solution

Q: 4. Solve the particular solution of y" + 3y' + 2y = 6e¬, y(0) = 1, y'(0) = 2, using a. Variation of…

A: we have given the differential equation y"+3y'+2y=6e-ty(0) = 1, y'(0) =2 we have to find the…

Q: A. Find the general solution of the DE: y" - 2y' +y = 6e'

A: Given A. y"-2y'+y=6et

Q: Find a particular solution, y,(x), of y(ª – y" = 12e3 – 5x + 2. -

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Q: 9. Find the particular solution of y" - 2y' + 5y = 0 y(0) = 1 and y'(0) = -2. An

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Q: Find the general solution to y"-y"+y-Y3D0

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

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Q: 2. Find the general solution of the first-order equation dy _ y² – 2ry dr

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Q: A 2nd order homogenous LDE has a solution xe-3x Find its general solution.

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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: The solution of y2 – x²y' = 0 with IVP (1)= . is given by y(x) = 1+x 1 y(x) = 1+x 1 y(x) = 1+ x2 (x)…

A: Given initial value problem y2-x2y'=0    ; y(1)=12

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: Find a general solution valid near the origin: (x²+4)y" + 2xy' - 12y = 0

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Q: Find a general solution of y"- 2iy'+3y= 0.

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Q: Obtain general solution of y' = y + y^3.

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Q: Find the general solution of y" – 3y' + 2y 1+e-x°

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Q: Find the general solution of (xe +y)da – cdy = 0 %3D

A: Given differential equation is xeyx+ydx-xdy=0 we can write it as dydx=yx+eyx             (1) which…

Q: yV + 2y" + y" = re=*

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Q: Find general solution of y" – 2y' + y = , By Variation of t2+1' parameter method.

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Q: 19. Show that yı = 1 and y2 = /x are solutions of yy" + (y')² = 0, but that their sum y = y1 + y2 is…

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Q: Find the general solution of (xy² + x²)dy + a. 3xy + y3 = C b. 3xy - y3 = C xydx = 0 с. -Зху - уз с…

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

A: Topic :- Differential equation

Q: Find the general solution to xy′′−3y′=0.

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

Q: Give a particular solution for y" – 2y' + y = 1+x2

A: Given that a differential equations - y" -2y' +y = ex/1+x2.   We know that integration of 1/(a2 +x2)…

Q: Find a particular solution for: y" - 3y' + 2y = te*

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Q: The general solution of the DE: -y = 1 is y= x(x + c)

A: given,1xy'-1x2y=1multiplying throughout by x we gety'-1xy=xnow, integrating factor μ(x) is given…

Q: Q1: Find the general solution of the y - 4y - 5y = 2sin2 x

A: Given differential equation is y''−4y'−5y=2sin2x. We have to find the general solution of the given…

Q: Find a general solution of y"- iy'+6y= 0.

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Q: 3. Solve y' = , with initial condition y(1) = 0. y2 – 1 x3

A: It is given that the differential equation dydx=y2-1x3. Using variable and separable method to…

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

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

Q: Find the general solution of: az əz 2, дх ду (1+ /z- x – y)

A: The given equation can be written as: 1+z−x−y∂z∂x+∂z∂y=2dx1+z−x−y=dy1=dz2          ......i

Q: Find a homogeneous LDE with constant coefficients that has y=-1+3x²e* as a particular solution.

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Q: Find two linearly independent solutions of y" + 3ry = 0 of the form Y1 = 1+ a3x³ + a6x® + · .. Y2 =…

A: We find two linearly independent solutions of the given differential equation  y"+3xy=0.......(1)

Q: Find the general solution to / + (xy)² = y²e%* .

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the general solution of (y-zx)p+(x+yz)q=x2+y2

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Q: ) Give a particular solution for y" – 2y' + y = 1+x² *

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Q: Find the general solution of (3D2 + 5DD' - 2D'2)Z = 10 cosh(2x + 5y).

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Q: Obtain the general and particular solution 4. xydx + (x² + y²)dy = 0

A: The given problem is solved below in detail.

Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

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Q: 7. Find the solution of the IVP: y" + y' – 2y = 4t, y(0) = 1,y'(0) = 2 using method of undetermined…

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Q: 6. Use undetermined coefficients to find a general solution of -2x y" + 5y' + 6y = 3e¬2= +e3z

A: The given differential equation is y''+5y'+6y=3e-2x+e3x

Q: 2. Find the general solution of y' = eY(4x – 2). %3D |

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Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: Find the solution of y-x =0 using separable variable method. dx

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Q: The general solution of 5uxx – 6uxy +uyy = 0 -

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Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

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Q: 5. Find the general solution of y"' + y'" - 6y' + 4y = 0 +

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.