Pragabhava
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 Jul13 answered General Solution of a Differential Equation using Green's Function Jul12 revised Proving a triangle is a right triangle given vertices, using vector dot product edited tags Jul12 comment Solve the following differential equations by converting to Clairaut's form through suitable substitutions. @Vish.Math See my last edit but be warned that there is never a satisfactory explanation for intuitive steps. Math is experience. Jul12 revised Solve the following differential equations by converting to Clairaut's form through suitable substitutions. added 1768 characters in body Jul11 answered Black Scholes Merton PDE with a time variant boundary condition Jul11 comment Black Scholes Merton PDE with a time variant boundary condition A few questions: Is there a relationship between $r$, $\delta$ and $\sigma$? Are all constants positive? One bigger than the other, etc? What's the domain for $V$? What's the behavior you're expecting for $S$ as the price $V$ goes to infinity? Jul9 revised Is this function bounded? Next question about integral $\int_{\partial M} \frac{1}{||y-x||} n_y \cdot \nabla_y \frac1{||y-x||} dS_y$. added 70 characters in body Jul9 comment Solution of a differentiation in integral form @ComplexGuy Nope, the definition of Spherical Bessel functions is \begin{align}j_n(x) &= \sqrt{\frac{\pi}{2 x}} J_{n + \frac{1}{2}}(x) \\ \\ y_n(x) &= \sqrt{\frac{\pi}{2 x}} Y_{n + \frac{1}{2}}(x)\end{align} Jul8 answered Is this function bounded? Next question about integral $\int_{\partial M} \frac{1}{||y-x||} n_y \cdot \nabla_y \frac1{||y-x||} dS_y$. Jul8 comment How to find out where a solution to a differential equation is defined? The answer to your question is that theorem. Any ODE book will have a detailed proof, along with the relation between existence, uniqueness and continuation of solutions depending on parameters and initial conditions. Jul8 comment Ordinary Differential Equations - Sturm Liouville Jul8 revised How to find out where a solution to a differential equation is defined? edited tags Jul8 comment How to find out where a solution to a differential equation is defined? Have you read the Picard–Lindelöf theorem? Jul8 comment Solve the following differential equations by converting to Clairaut's form through suitable substitutions. @Vish.Math See the edit. If you find it appropriate, please consider accepting the answer. Jul8 revised Solve the following differential equations by converting to Clairaut's form through suitable substitutions. Improved the answer to address OP's concerne. Jul8 revised Solution of a differentiation in integral form edited tags Jul8 revised Solution of a differentiation in integral form deleted 1 characters in body Jul8 comment Solution of a differentiation in integral form No offence, but it is my impression that you might be reading something more complex than you can handle right now. You really need to step up your knowledge on special functions, separation of variables, eigenfunctions and eigenvalues, Fourier and Laplace transforms, etc. if you want to fully understand the maths that are being used in the articles you are trying to read. Jul8 answered Solution of a differentiation in integral form Jul5 comment Plotting graphs using numerical/mathematica method @ComplexGuy In your first plot, you have the wrong code. In the second term inside the root it says 3*2^(1 + 2)*A while it should say 32^(1 + 2)*A.