If i have the function: $\displaystyle \frac{d^2u}{dx^2} + 4u = f(x)$ What would the homogenous equation be?
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Originally Posted by signature If i have the function: $\displaystyle \frac{d^2u}{dx^2} + 4u = f(x)$ What would the homogenous equation be? $\displaystyle \frac{d^2u}{dx^2} + 4u = 0$
so $\displaystyle U(x)=a\sin(2x)+b\cos(2x)$ for all a,b.
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