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13 lines
525 B
TeX
13 lines
525 B
TeX
\newsectionNoPB
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\subsection{Linear differential equations of first order}
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\shortproposition Solution of $y' + ay = 0$ is of form $f(x) = C e^{-A(x)}$ with $A$ anti-derivative of $a$
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\shade{gray}{Imhomogeneous equation}
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\begin{enumerate}[noitemsep]
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\item Find solution to $y_p = z(x) e^{-A(x)}$ with $z(x) = \int b(x) e^{A(x)} \dx x$ ($A(x)$ in exp here!),
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\item Solve and the result is $y(x) = y_h + c \cdot y_p$. For initial value problem, determine coefficient $C$
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\end{enumerate}
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