eramos9068 eramos9068
  • 10-02-2020
  • Mathematics
contestada

Is it possible to solve the differential equation

y'(x)= y(x)â|x|


for y(0) = 0? Is this solution unique? Justify.

Respuesta :

amnamurad28748
amnamurad28748 amnamurad28748
  • 11-02-2020

Answer:

No, and solutions is is not valid.

Step-by-step explanation:

Solving y'(x)= y(x)a|x| by parts yields y(x)=[tex]e^{\frac{a}{2}x^{2} }[/tex] is the solutions, for y(0)=0 (initial value), it yields [tex]e^{0}=0[/tex] which is not valid. Note a is assumed to be constant.

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