Solve x2(y-z) p +y2(z-x)=z2(x-y)

Q: y= cosV1- x y' = V1-x² ² y' = 2v1- x² y' = 2va- x2 y' = Vx-x* 1 y' = 2Vx-x2

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Q: What do you mean by Separable Equations?

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Q: Find the general solution of y' = y secx

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Q: Obtain the general solution valid near the origin: х(х-2)y1+2(х-1)у - 2у %3D0

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Q: Obtain the general solution valid near the origin: x(x − 2)y" + 2(x − 1)y' − 2y = 0

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Q: 2x+2y-3z=5 X-y+2z=8 3x+5y-8z=-2 Reduce echelon form to solve

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Q: x  -  2y  +3z  =17 2x  +  y   +z =  9 -3x  +2y  - 2z  = -19   solve for x,y,z

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Q: find general solution. dr/dt= -2tr,         r(0)=ro

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Q: (9x-4y+4)dx-(2x-y+1)dy=0

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

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Q: (x) + Find the general solution аху- х+у о у-xlncxЈtc 2 x² Ў= х²-хутуг у-х- х Нихте з y = x + y + y…

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Q: Solve: x"-x+ 5 y' = t y" - 4 y-2x'= -2 with x(0) = y(0) = x'(0) = y'(0) = 0

A: This is a problem of Laplace Transform.

Q: use the two phase method to solve the lp MAX -  4x1  +  x2 - 2x3 st --    2x1 + 2x2 + x3 = 4 x 1+…

A: We can solve this using two phase method

Q: -4х - Зу+4 y' = 2х+ у

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Q: 2xyy' 1+ y2 What is the general solution?

A: The solution is given as

Q: Solve for Gaussian Elimination with Back Substitution. 2x+y+8z=-1 x-y+z=-2 3x-2y-2z=2

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Q: Apply the Gauss-Seidel method to the system

A: the Gauss-Seidel method to the system x1 - x2 = 1 and 2x1 + x2 = 5 with initial approximation [0  0]…

Q: V2x-x2 SS2*-*" (x² + y²) dydx

A: Changing cartesian to polar coordinates: x2+y2=r2x=rcos θy= rsin θ x ranges from 0 to 2y ranges from…

Q: 4. Write the solution of i = -y, ý = x, x(0) = 1, y(0) = 0 %3D

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Q: Find the general solution of y" – y' – 2y = cosh 2t.

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Q: Solve for the value of x , y and z : 2x-y+z=-5…

A: To solve the given equations for the values of x, y, z.

Q: Solve for x, y z from X - 1 1 2 Z 3. 6 6

A: 2x-113y=2z66

Q: 7. Verify that y = x2 - 1 is a solution of (y')* + y? = -1.

A: Given- y=x2-1 To verify- That the above function is the solution of y'4+y2=-1.

Q: tion: y" – 3y' = e3 – 18x. - -

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Q: Solve y"-4y'+13y= yo)=-I ,y'co)=2

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Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: solution for z(x, 0) = x², z(1,)

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Q: -V4-x² c3-x²-y² xdzdydx, 0. 0, J-5+x²+y²

A: We will find out the required value.

Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

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Q: Solid inside x2 + y2 + z2 = 16 and outside z = √x2 + y2

A: Given:

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

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

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Q: 11. Perpendicular to 5y = 2x – 6 and passes through the point (-1, 5)

A: topic - equation of a line perpendicular to given line

Q: (1 - V2) dt 44. 46. (2z – 3) dz - 3

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Q: Solve using Gaussian method 5x+2y+z=-11 2x-3y-z=17 7x-y=12

A: Consider the system of equation.Rewrite the system of the equation in matrix form as follows.

Q: 2. x (х — 2)у" + 2(х — 1)у' — 2у %3D 0 |

A: Power series solution of the differential equation

Q: 6) qyo -x² +2x + S%y +62=0 sty

A: 6)

Q: general solution of (D2-1)y=2/1+ex

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Q: maximise I1 + 2r2 I3 subject to z + 4r2 + 13 0, I2 unrestricted

A: The given problem is maximize x1+2x2-x3 subject to x1+4x2+x3≤1,-2x1+x3≤x2,4x1+2x3≥-7,x1≤0,x3≥0,…

Q: Solve by homogeneous equations method (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: Solve (x² - 4xy-2y²) dx + (y² - 4xy - 2x²)dy = 0 By using the method of the exact equations 1-…

A: The given problem is to solve the given differential equation by using the method of the exact…

Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1).

A: SINCE YOU HAVE ASK MULTIPAL QUESTION, SO WE WILL ANSWRING ONLY FIRST QUESTION.

Q: Solve using elimination x + y + z= 6 5x + 2y + 3z =8 6x + 3y + 8z = 10

A: The equations are given by,

Q: 2X + y - x - 2y + 2z = -11 3x - y + z = (x, y, z) =

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Q: Xyz = 0 12. Solve: {x+ 2z = 1 2y-z 4

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Q: Find the general solution by Variation of Parameters. y''+y=3cscx

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Q: Solve using variation of parameters: y" – 2y' + y = -

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Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0

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.