Diff.likninger – Oppgaver

Oppgave 1
y'+3y=4

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y'\cdot e^{3x}+3y\cdot e^{3x}=4e^{3x}
(y\cdot e^{3x})'=4e^{3x}
y\cdot e^{3x}=\int 4e^{3x}dx
y\cdot e^{3x}=\frac{4}{3}e^{3x}+C
y=\frac{4}{3}+Ce^{-3x}