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

[stasianlov]

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

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

 

[tiny-tim]

hi stasianlov!

(try using the X² button just above the Reply box )

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

what is worrying you about that? ​

 

[bigfooted]

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.