The indicial equation for the differential equation хy" + 5у" - бху %3D 0 is O A. "(5r – 1) = 0 А. O B. "(* + 5) = 0 Oc"( - 4) = 0 OD. (5r + 1) = 0 OE. (* + 4) = 0 |

Q: Solve the differential equation y` = (196+ y)²

A: The given differential equation is: y'=196+y2

Q: Use the method of undetermined coefficients to solve the differential equa- -2x y" + 5y' + 6y = e-®…

A:

Q: Determine whether y = 2x is a solution of the differential equation y'= 6x², a. 6x2- and by'= 6r?…

A: Just take derivative of y and substitute in given differential equation and see if it satisfies the…

Q: Differentiate. y = Y =_et %3D 3x2 y' = %3D

A: The detailed solution is as follows below:

Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

A:

Q: Q3: Solve the following differential: y" - 4y + 5y = x *******

A:

Q: 3.- Show the differential equation is exact, then solve the equation. dy _ 3x2 - 6ху Зx? — у dx

A: To show that the differential equation is exact and to find the general solution

Q: y"-7y'=(2x-1)sin 2x

A: Differential equation

Q: d) Solve the equation for all roots x' +1 = 0

A:

Q: Solve: x'y" - 2xy' + 2y =0 2_2)

A: Please refer to the image below

Q: Form the differential equation for the function xy = ae2x – be-2x a. xy" – y' = - 4xy O b. xy" – 2y'…

A: The given equation is xy=ae2x-be-2x. Evaluate the differential equation as follows.…

Q: Solve cosh(z)=1/2

A:

Q: Solve the differential equation for the motion of the spring 384x''+1152x'+864x=0   if x(0)=-2 and…

A:

Q: Find a general solution of the differential equation: у" — 4у" — Зу'+ 18у %3D Зе*

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.