The complementary function(C.F.) of the differential equation(D- 8)°(D+3)y-8z is O ( +ez)e +ge O (a +gz)e +cge O (a +gz)e + cgele O (a +or)e + c3e^&r

Q: Determine the differential equation that is satisfied x2 + y2 + 2ax + 2by + c = 0

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Q: у" + 2y" - у — 2у%3D0

A: To solve a differential equation  Determine the characteristic equation  Determine the roots if the…

Q: Determine the differential coefficient of y= V3x2 +4x -1

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Q: This is a practice question from my Differential Equations course: Show directly that the given…

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Q: 10. хx" + 4xx'%3D у2

A:

Q: Explain the properties of ordinary differential equations.

A: We have to solve

Q: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

A:

Q: SOLVE : uoTienbe je120 (6x2 +4xy +y2)dx + (2x2 + 2xy -3y2)dy =0 2x³+2x3y+xy²-y³=c 3x2+2x?y+xy2+y°=c…

A: We need to find the solution of this exact differential equation

Q: The differential equation 3x?yy' – 3x5 = y?can be changed to linear by the substitution (a) v = y?…

A: Put y=vx So, none of these is correct option.

Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Form the differential equation for the function x +2y = a sin3x - bcos3x а. Зу" - 18у %3D -9х O b.…

A: The second order differential equation for a function can be found by differentiating the function…

Q: (1– x){ - 4xÍ +5y = COSX dy. %3D dx2 lx

A:

Q: (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1

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Q: 4y" + 2y" = e *(x' + 4) + 4e 2- 5x 4 9

A: In this question, we have to find the particular integral for the linear differential equation…

Q: Q: The differential equation whose auxiliary equations roots are 2,2,1 is (a)Ae* + Be2x* + Ce2x (d)…

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Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form

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.