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If the Wronskian W of f and g is 3e4t, and if f(t)=e2t, find g(t).
Here's the work:
e2tg'(t)-(e2t)'g(t)=3e4t
e2tg'(t)-2e2tg(t)=3e4t
g'(t)-2g(t)=3e2t
p=-2
e^integral of p=e-2t
g(t)=?
Here's the work:
e2tg'(t)-(e2t)'g(t)=3e4t
e2tg'(t)-2e2tg(t)=3e4t
g'(t)-2g(t)=3e2t
p=-2
e^integral of p=e-2t
g(t)=?