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math:calculus [2019/12/22 22:57] – [Differential equations] phreazer | math:calculus [2019/12/22 23:10] – [Differential equations] phreazer | ||
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Differential operator | Differential operator | ||
- | $y' = 2y + x^2$ => $f' | + | $f' |
$\frac{dy}{dx} = y^2 * x$ | $\frac{dy}{dx} = y^2 * x$ | ||
Line 36: | Line 36: | ||
$\frac{1}{y^2} dy = x {dx}$ | $\frac{1}{y^2} dy = x {dx}$ | ||
+ | |||
+ | $\int \frac{1}{y^2} dy = \int x {dx}$ | ||
+ | |||
+ | $-y^{-1} + c_1 = 1/2 x^2 + c_2$ | ||
+ | |||
+ | $-(1/ | ||
+ | |||
+ | $y = \frac{-1}{(1/ |