Find the smallest-order differential equation provided by the y=c 1 e 9x + C 2 e 7* + C 3 curve family, where c 1, C 2, C 3 are arbitrary constants. O a. y"" – 16y'" + 63y' = 0 О Бьу" - 16у" + 63y' -63у%3D0 ONS. y"- 16у" + 63у%3D 0 O D.y" - 16у" - 63у' %3D 0 O to. y" + 16y" - 63y' = 0

Q: Match the differential equation with its direction field. y' = 9(x + y) - 1 15 0.1+ -4.31 -0.2 -Q.1…

A: Matching the differential equation with its direction field  y'=9(x+y)-1 x 0 0 0 0 0.1 0.2 0…

Q: What is the differential equation of the family of circles with their centers on the y – axis and…

A: The given problem is to find the differential equation of the family of circles with centres on…

Q: Which of the following is the general solution of the differential equation ху" — у' — 1? а) c,х +…

A: The differential equation is given as xy''-y'=1 Multiply both sides of the given differential…

Q: Which of the following is the differential equation of the family of cubics defined by cy^2 = (x -…

A:

Q: Which of the following is the linear differential equation resulting from the solution of the…

A: The given differential equation is first order but not of first degree. We denote dy/dx =p and the…

Q: Which of the following differential equation has a solution of y = C,x³ + C2x ? 4y = 3x?y' – x³y" 3y…

A: To find which option is correct: We first find y' and y'' of  y = C1x3  +  C2 x and then we will…

Q: which is the corred differential equation of the relation y = x + be* + ce* after elimination of the…

A: Solution: Given that

Q: Determine the solution of the differential equation y"" – 6y" + 12y' – 8y = 0 -2x y = C,e-2x + C2xe…

A:

Q: Which of the following most nearly gives the differential equation that is free of arbitrary…

A: The detailed solution is given below Thank you

Q: Determine the particular solution of the given linear differential equation (D^4 +3D^3 +2D^2)y=0;…

A: Given:

Q: Consider the differential equation y" - y' – 12y = 0. Verify that the functions e3x e4x form a…

A:

Q: 5) Find all the singular points for the given differential equation. Classify each one as regular or…

A: Step:-1 Let P(x)d2ydx2 + Q(x) dydx + R(x) y =0 -----(1), be the differential equation of second…

Q: (5x4y2+y)dx+(4y4-x)dy= 0 differential equation is multiplied by whichever of the following, it…

A:

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

A:

Q: Which one is false? If the auxiliary equation of the homogeneous linear differential equation has…

A: Let us check which of the information given is false in the next step.

Q: Suppose the auxiliary equation of a homogeneous linear differential equation has roots m_1=-2 and…

A: We have given the root of the auxiliary equation which is m1=2 and m2=+-2i

Q: Identify the differential equation solved by y = e** a) Oy" – 9y + 20y = 0 b) Oy" + 9y' – 20y = 0 с)…

A: The solution is given as

Q: Form the differential equation Por the curve y= 2sin (x + 3)

A: The order of the differential equation is the highest derivative present in the equation. The…

Q: Which of the following differential equation has a solution of y = Cqx³ + C2x ? 3y = 4xy" + x²y' 4y…

A:

Q: Obtain the differential equation of the given family of curve: y² : C-x a. 2x³y' – 3x?y – y³ = 0 b.…

A: Given curve : y2=x3c-x ⇒c-x=x3y2

Q: Solve the linear Homogenous Differential Equations with Constant Coefficients: (D' - 2D° – D+ 2)y =…

A:

Q: Match the differential equation with its direction field. y' = 10 - y \ 20 0:34 // 0.2f Q,1 -Q.31…

A:

Q: What is the differential equation of the family of parabolas with their vertices and foci on the y –…

A: We need to find differential equation of the family of parabolas with their vertices and foci on y -…

Q: Match each slope field shown with its differential equation. Please explain/justify your answers. 1)…

A: Let us name the given slope fields as A, B, C, D, E and F. That is

Q: Find the differential equation that has y = C1 + C2x as its general solution. a) Oxy" – 3y = 0 b) O…

A:

Q: Which one of the following is the Exact differential equation ? O (2? + 3ry)dy + (3 + )dz = 0 O (22…

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

Q: Suppose you want to find an equation for a curve that passes through the point (1, 2x3 2) and whose…

A: We have to solve the differential equation dydx=2x3y to get the equation of the curve.

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.