dx dt with the initial value -1 [3] 6 x(0) = Solve the system 2 -1 21] 46 x(t) = X

Q: 2) Use y = ax to solve 2'y" - xy' + (x+1)y=0.

A: The given differential equation is: 2x2y''-xy'+x+1y=0. We have to solve using y=∑n=0∞anxn+r.

Q: . Solve for x: V3x – 20 = x - 6

A: Any equation of form ax2+bx+c=0ax2+bx+c=0 is a quadratic equation as the highest exponent of a…

Q: f(x)=4x+3    Evalute and simplfy the following (round to 2 decimal places if necessary)…

A: Given,            fx=4x+3To find : Evalute and simplfy the following                 fx+h-fxh

Q: Solve csc(x) – 2 = 0 on [0, 27]

A: Let's find.

Q: du Solve dt 6u+3t e if u(0) = 2. U =

A:

Q: Let 1 2 -1 A = 2 4 -2 -2 Describe all solutions of A = 0. * = x2 +x3 +x4

A:

Q: In(-/-) (vi) 2x In - x = 0

A:

Q: Solve (x-1)' +(x-2)'+(x - 3)' +(x + 4)' +(x + 5)' = 0

A: The solution for the above question is as shown below.

Q: Solve 1og x t1og (x-2)= 10q (ex)

A:

Q: Solve 1 0-²40 = 5 x (0) = - 4, y(0) = 10

A:

Q: Solve the system 3 9 dx dt -1 -3 with æ(0) : 4 Give your solution in real form. x2

A: Given system is of the form X' =AX. We have to find eigenvalues and associated eigenvectors of the…