General Solution for dy/dt=2ty+4e^(t^2)

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stasianlov
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find general solution for differential equation dy/dt=2ty+4e^(t^2)

i got e^(t^2)(4t+k) is that right?
 
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hi stasianlov! :smile:

(try using the X2 button just above the Reply box :wink:)
stasianlov said:
find general solution for differential equation dy/dt=2ty+4e^(t^2)

i got e^(t^2)(4t+k) is that right?

yes that's fine :smile:

what is worrying you about that? :confused:
 
you can check the answer by substituting the solution y(t) and its derivative dy/dt in the differential equation. The results should be 0.