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Boundary value problems arise in several branches of physics as any physical differential equation will have them. Problems involving the wave equation, such as the determination of …

2020年3月31日 · The function defining the BVP has to return an array that has a row for each equation, and a column for each value in the grid. def bvp (y, U): u1 , u2 = U du1dy = u2 …

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I am looking for a symbolic closed-form solution to the following BVP. $$\frac{d^2 \phi}{dx^2} = c_1 \left ( e^{c_2(\phi(x)+c_3)} - e^{c_4(\phi(x)+c_3)} \right )$$ wherein $c_1, c_2, c_3$ and …

2010年12月31日 · This work presents an existence and location result for the higher order boundary value problem $$\begin{array}{l}-\left( \phi \left( u^{(n-1)}(x)\right) \

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Deduce from your boundary conditions that $$ F(2 \ln(x))=\frac{\sin(x^2)}2+C $$ and then that $$ F(x)=\frac{\sin(e^x)}2+C. $$ Then you'll get the family of solutions $$ \phi(x,y)= \frac{\sin(e^y …

Consider the BVP. y'' - 2 \frac { (y')^2} {y} + y = 0, \qquad x \in (-1,+1) y′′ −2 y(y′)2 +y = 0, x ∈ (−1,+1) with boundary conditions. y (-1) = y (1) = \frac {1} {e + e^ {-1}} y(−1) = y(1) = e+e−11. …