Obtain the general solution. (Let 2C=C) (4x + xy*)dx + (y +x*y)dy = 0

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: Solve the Cauchy euler equation d³y x3 dx3 3x2 d?y dx2 2 + 6x -6y = 3 + Inx³ dy dx

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

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Q: 4. Find an implicit solution using the substitution u= or y3ux dy dx x+xy %3D

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Q: The general solution of (2x2 + y) dx + (x²y – x) dy = 0 is 4x2 + Dy² -Dy D

A: Given that 2x2+ydx+x2y-xdy=0Solution…

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

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

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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: Obtain the general solution of the following equations:    2y(x2-y+x)dx-(x2-2y)dy=0

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

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Q: Part III Obtain the particular solutions of the following: c. y°dx + (x* +3xy + 4y* )dy = 0, y(2)=1

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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: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1 O a. y (2y-3x) = 3x? O…

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Q: 3. Find the general solutions of, (xy + x* )dy + y°dx = 0 b.

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Q: Find a particular solution to y"+2y' + y =t

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Q: Find the general solution or particular solution of each of the foll 1. 2y(x+y+2)dx + (y²–x²– 4x –…

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Q: Find the general solution of dy xy = 1+ y?

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Q: Þ(x) = x² is an explicit solution to dy 2y dx ylgn ihi

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Q: A Q2 Show that y=x+ is the solution of 3x – x = x+ y. dy dx

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Q: Find the general solution of (x^2+x)dy=3dx

A: Given difeerential equation, (x2+x)dy=3dx

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

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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: 2. (D² - 3D + 2)y=1+x

A: The given differential equation is;  (D2-3D+2)y=1/(1+e-x).

Q: x²dx + y(x-1)dy = 0 %3D

A: We need to find solution of differential equation.

Q: Find the general equation solution to the 2Zx + Zy +Z = o

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Q: x²y"+xy'-y= x 2

A: Given Cauchy-Euler equation is x2y''+xy'-y=x.

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

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Q: 2. Solve the homogeneous equation: (20 points) dy dx y x _ x y +1

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Q: Find the general solution of (2x – y) dy = 2y – x - da

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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: 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: Exercise 7 Find the general solution 1. 6y'dx - x(2x + y)dy = 0

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Q: Find the family of solutions of the equation (x2y5 + y3)dx + (x3y4 + x)dy = 0

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Q: dy + ydx %3D = 3x²y?dx,

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Q: 3. Find the general solutions of, dy _ x+ y dx х-у, a.

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Q: The particular solution of x dy - y dx when x = 1, y = 3 is a. y + x2 – 1 = 3x b. y + 2x2 + 1 = 6x –…

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Q: 3. y'(x'y-2)dx+x(x*y' + 2y° - x)dy = 0 : y(1) = 1

A: We have to find the particular solution.

Q: SHOW THE COMPLETE SOLUTION. 1. Find the particular solution of y(x2 + y2)dx + x(3x2 − 5y2)dy ;…

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Q: Find the general solution of the di f ferential equation *+ x .2 d²y + (x² – )y = 0.

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Q: What is the general solution of differantial equation?  Whicf of the options x² - y² + xy dy/dx =0

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Q: 3. Find the complete solution of (x²y+y³ – y)dx + (x³ + xy? + x)dy = 0 Hint: Expand and Simplify

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Q: 3. Find the general solutions of, dy_x+y dx х-у, а.

A: given differential equation is  dydx=x+yx-y

Q: 3. Find the general solution of dy = y(xy – 1). d:r

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Q: 1. Find the general solution of: dx dy _y+xy²+x² x+x²y+y³

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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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Q: Obtain a particular solution for + + +y = x³ + 2x + 1 dºy, d²y dx4 dx²

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.