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: Find the intersection of the plane – 5x + 4y – 6z = – 267 and the line T(t) = (6, – 7,6)t + (1, – 7,…

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

A:

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

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

A:

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.

Q: Sketch the slope field and some representative solution curves for the given differential equation.…

A: We are given the second order linear differential equation. y"=x+y. or  d2ydx2=x+y....(1) We need do…

Q: dy at M х2-2у ду? do 3х2 - 2 ху at

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.