I need assistance with 15 C 15. Use dsolve to solve the differential equation (B

Question

I need assistance with 15 C
15. Use dsolve to solve the differential equation (B.2) with the initial condition y(0) = c. (a) How many solutions does MATLAB give? Do they all satisfy the initial condi- tion? Why do you think that MATLAB gives multiple answers? (b) What happens if you substitute c = 0 in the solution to (B2)? What happens if you instead take the limit of the solution as c 0? Do you indeed get the correct solution of the equation for this case? (c) Plot the solutions to (B.2) for c =-5,-4, . . . , 4, 5 on the same set of axes. Is the initial value problem stable?

Explanation / Answer

The following commands need to be input into Matlab:

y' = ty3

dsolve ( y = t * y3)

set the constant c = 0

dsolve [ ( y = t * y3), c {0) ]

dsolve [ ( y = t * y3), {c, -5,-4,-3,-2,-1,0,1,2,3,4,5} ]

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.