Recent content by ariesleo

thanks for your reply! I posted the existence theorem I learned from class. In my opinion, the function we get y=Ax^4 is continuous, however, by using the existence theorem we could not find a solution. that is the contradict point. maybe the existence theorem is just sufficient. maybe...

you are right, i made a mistake. I changed the answer. after put the initial conditions, there is still no solutions. thanks

Homework Statement show the initial value problem x(dy/dx)=4y, y(0)=1 has no solution. does this contradict the existence theorem. please explain The Attempt at a Solution it is easy to find out a general solution is y=C*e^(4x), C is a constant. and for any x the right part of the...