The general solution of the differential equation x²y" – 2y = Inx² is C1x=² + c2x – ln x – , O C1x² + c2x=l – In x + O cje-2r + c2e* – x + 5 O Cjevzr + cze-V2x + ax + b O + c2e¯* – x + - O + -! + C2e C1x² + c2x¬l + In x – , O

Q: The complementary function(C.F.) of the differential equation(D – 8)°y = sin 8x is (ci + c2x +…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: The complementary function(C.F.) of the differential equation(D – 7)²(D+3)y = 7x is_ O (c1 + C2x)e=…

A: Differential equation and complementary function

Q: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

A: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

Q: The general solution of the differential equation x²y" - 2y = Inx is

A:

Q: ¬(D – 6)°(D+4)y = 6x is_

A:

Q: y =1+r+y+rY =D1+x-

A: A differential equation is an equation that consists of a differential coefficient in combination…

Q: Check that the indicated function is an explicit or implicit solution of the given differential…

A: Consider the differential equation dydx=xy+3x−y−3xy−2x+4y−8 Hence,  dydx=xy+3x−y−3xy−2x+4y−8…

Q: Solve the Af Differential Equations I' city? +xy") dx t Cxy ty+ 2xy) &y ニ0 2.[ 2x + y copCxg] dx + y…

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

Q: The complementary function(C.F.) of the differential equation (D2 + 6D+ 18)y= z is_

A: In this question, we have find the complementary function for the differential equation.

Q: The complementary function(C.F.) of the differential equation(D – 2)°y = sin 2x is_ O (ci + c2x +…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: a²u 3) əx2 dv 8- ду is a equation. 4) The order of a differential equation is the order of the

A: 3) Clearly the given equation is Partial Differential equation.

Q: Solve the first order differential equations 1 (x³ + y4)dx + 8y³xdy = 0 when x = 4, y %3D | 2

A: differential equation

Q: y = 3xp +p 0 what is the general solution of the differential equation? dx

A: Given that y=3xp+p,  p=dydx To find the general solution: y=3xp+py=3x+1p Differentiate both sides…

Q: The complementary function(C.F.) of the differential equation(D – 6) (D+ 4)y = 6x is_ O (cı + c2x)e0…

A: Given: D-62D+4y=6x

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?

A:

Q: dy 2x dx = 3xy + y? ;y(1) =-2

A: dydx = 3xy+y22x2

Q: Let y'= 2xy²; y = a. (-4,4),(-∞, -4] b. (-4,4) c. (-4,00),(-4,4),[4, ∞) d. (-4,00),(4,∞), e. (-∞,…

A: Given,  y'=2xy2 and y=24/(x2-16)

Q: Determine whether the set of vectors in P2 is linearly independent or linearly dependent. s = {x2, 8…

A:

Q: What is the differential equation of the solution y = C₁e-9 + С₂xе-9x + С3e7* ? Oy" + 11y" - 45y +…

A:

Q: The complementary function(C.F.) of the differential equation(D – 7) (D+4)y= 7x is_ O (ci + c2x)e +…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve the linear Homogenous Differential Equations with Constant Coefficients: (D³ - 2D² – D+2)y = 0

A: We have to solve here given differential equation,

Q: (x² - 2xy+3y-7)dx + (3x − x² + y³)dy = 0 (2y + 1)dx + (x + 2) dy = 0. y' + 5y = e-3x

A: 1) x2-2xy+3y-7dx+3x-x2+y3dy=0 solve the differential equation differential equation is of the form…

Q: Determine the solution of the differential equation + 12 + 8 = 0 ds ds ds ds x = C, + C2s + Czež +…

A:

Q: Which of the following is the general solution of the equation system dx dt dy 2y x dt x(t) = C,…

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

Q: D (D + 2)*y = 0 %3D

A: First we rewrite the given differential equation in auxiliary form.Then find the roots and write the…

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.