y"-2y"-y'+2y= 0

Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4

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Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

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Q: How do you test for the exactness of differential form?

A: given,      to test for the exactness of differential form

Q: 2x+ ((y)/(1+x^2y^2)dx = (2y-(x)/(1+(xy)^2)dy Differential equation

A: Solution

Q: Solve for the differential of y when y=sinzx, x=-, and dx=- 3 2

A: Pi/4

Q: ntial equation dy 1 x>0 + 2y = 1- dx

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Q: ion of the linear differential equatio ents, variation of parameters and red

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Q: 2 max f (2х + и)dte dx - 5 — и?, x (0) 3D1,x(2) freet dt

A: Given: maxf=∫02(2x+u)dt dxdt=5-u2,     x(0)=1,      x(2).free

Q: 5. sinx+ cosh2y = 0. dy 6. /2xy -= 0. dy y

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Q: Determine the order of the differential equation. y' + y = 7y2

A: We have to Determine the order of the differential equation.

Q: Find the differential equation having the solution as the equation: (a) representing all lines thru…

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Q: 2. [2x*tan y – ysin (2) – 1] dx + [xsin (2) + x*sec*y] dy =

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Q: (cos 2y-3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0

A: Given : Differential equation cos 2y - 3x2y2dx + cos 2y - 2x sin 2y - 2x3ydy = 0   To find :…

Q: 2dx/dy-x/y+x^3cos y = 0 Differential Equation

A: • The given equation is a Bernoulli's equation which is a special type of 1st order non-linear…

Q: 4.x+xy? y-x²y ,2 dy dx

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Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

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Q: INTEGRO-DIFFERENTIAL 2. y" - y'-y = cos(5t)

A: We have given a differential equation ,  y'' - y' - y = cos5t First we will find complementary…

Q: xux +yuy = 2u, u(0,y) = 0 by method characteristics a first order equation

A: Given equation is  xux+yuy=2u                   (i) Eq. (i) is of the form aux+buy=c where a is x, b…

Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: Exact differential equation (8y – x?y) + x – xy² = 0 dx

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Q: dy 1- cosh x + (sinh x)y = e¯x dx 2 dy 2- - y = e*/2y³ dx

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Q: y'' + 3y' + 2y = sin ex

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Q: y(1-x^2) dy/dx=x(1+y^2) solution of first order Deferential Equation

A: We have to find solution of y(1-x2)dydx=x(1+y2)

Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

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Q: Find the differential equation of the family of curves. 1. Family of lines where x-intercept is…

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Q: Differential equation of 2y'=3y+1, y(1)=1

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Q: homogeneous differential equation of (x-y) (4x+y)dx + x(5x-y)dy=0

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Q: 1 of 1 dy -3-9x, y'6)=8, dx² ylo)=2 %3D

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Q: 1. Linear equation of order one: dy-x -2xy zx = 0

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Q: what is the differential equation of the family of parabolas that has a vertex along the line y =…

A: Given that Parabola that has a vertext along the line y=-2 , and distance from vertext to directrix…

Q: A heat-seeking particle is located at the point (2, 3) on a flat metal plate whose temperature at a…

A: A heat-seeking particle is located at the point 2,3 on a flat metal plate whose temperature at a…

Q: dy 1- cosh x dx + (sinh x)y = e-x - 2 dy 2- - y = e*/2y3 dx

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Q: 3. f sin³y(2-3cosy)² dy

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Q: Solve for the differential of y when y=sinxx: x=-, and dx 3 2 2 2 4

A: y=sinπx, x=13, dx=12

Q: ne differential equation (9x-4y+4)dr-(2x-y+1)dy =0, the lines 9x- 4y +4 = 0 and 2x-y+1)=0 intersect…

A: Please refer to the image below

Q: dy Obtain general solution of- 3/xy dx

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Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1 %3D

A: We first separate the variables2y2dx=3x2dy2dxx2=3dyy2then integrate both…

Q: Geberal solution of (3xy +3y - 4)dx+(x+1)²dy

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Q: 1. siny dx + (x - sin² y)dy=0 2. x + ( 1+x)y = e -× sin2x dx

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Q: 3y'+y=(1-2x)y^4 by Bernoulli's Differential equation

A: Convert to linear differential equation

Q: Solve for the differential of y when y=sinzx, 1 x=-, and dx =-. 3 2

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Q: 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy

A: A differential equation (Mdx+Ndy=0) is exact if  dM/dy= dN/dx

Q: 1. Linear equation of order one: dy-(r' -2xy dx =0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determination of Integrating Factor (2xy− y^2 + y)dx+ (3x^2− 4xy+ 3x)dy = 0

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Q: 3. (2х - у - 4) dx - (х-3)dy -0 when x %3 1, y 3D 4.

A: We try to identify and group terms and integrate.

Q: Determine the order and degree of the differential equation y' + y" = sinY O 1st order, 4th degree O…

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Q: ing differential equation: y" + 2y"-3y = =x+4

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Q: 1 dy if y = dx -1 Find - tan 3x. dy dax

A: Use derivative formula

Q: dy 42. = 3x2- sec2 x; if x 0, then y = 1 |3D %3D dx

A:

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.