AMATH 250 Online Assignment 1
AMATH Assignment代写 Late penalty is 1% per hour. It is your responsibility to make sure you have time to upload your assignment by the deadline.
Late penalty is 1% per hour. It is your responsibility to make sure you have time to upload your assignment by the deadline.You may use the course materials posted on the course website and the optional text as references. You are also allowed to discuss ideas with your classmates, the course instructor and TAs. Please do not post fifinal answers or give away too much on Piazza; it will be monitored closely. Your submitted work must be written upon your own and should indicate your knowledge of the material.
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I declare the following statements to be true:
- The work I submit here is entirely my own
- I have not used any unauthorized aids
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- I have discussed the assignment with the following people (if any):
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Each question should be uploaded separately to Crowdmark. AMATH Assignment代写
- The initial value problem (IVP) and its solution is introduced in lesson 1.2.
- (a) An arguably simpler fifirst order ODE is the following
where f(x) is a continuous function of x. This may be solved by integrating both sides of the DE
where F(x) is an antiderivative of f(x) and C is any constant. Since the function F(x) + C includes all the solutions of the DE it is the general solution of the DE. Use this approach to fifind general solution of the given DE. Be sure to show all the steps used to solve the integrals.
(b) An important question in this course is to fifind the general solution to a given DE. Now, let’s ask a di↵erent question: given the following general solutions, fifind the corresponding DE.
Hint: Note that there are two constants c1 and c2 in the family of solutions, so the solutions must come from second-order DEs. AMATH Assignment代写
- Find the general solution of the following linear DEs.
