query: Analytical solve for biharmonic equation
positive_passages.docid: 26850
positive_passages.text: 2D inhomogeneous biharmonic equation
negative_passages.docid: 86767
negative_passages.text: Using separation of variables to solve the wave equation
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negative_passages.text: Solving Wave Equation with Initial Values
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negative_passages.text: (Fundamental) Solution of the Helmholtz equation
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negative_passages.text: Finding distinct solutions for the equation
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negative_passages.text: Solve an equation in $\mathbb{R}^+$
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negative_passages.text: Finding NDSolve method details
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negative_passages.text: exact solution to lotka-volterra equations
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negative_passages.text: General solution to the PDE $xU_x+yU_y=0$
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negative_passages.text: Which equation to use for simple harmonic motion?
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negative_passages.text: Solving the Quasilinear PDE $u_{t} - u^2 u_{x} = 0$ with piecewise initial condition.
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negative_passages.text: A PDE exercise from Gilbarg Trudinger. problem 2.2
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negative_passages.text: Eliminating non-integer solutions to $ab / (2\sqrt{ab} + a + b)$
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negative_passages.text: Find the solution of the pde $xu_y-yu_x=u$.
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negative_passages.text: Finding all solutions for a system of equations with constraint on the sum of absolute values
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negative_passages.text: NDSolve with Euler method
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negative_passages.text: Help with System of nonlinear equations!