D'Alembert's solution for the one-dimensional wave equation for a semi-infinite string
Hello! Thank you for taking the time to try and solve this problem. Please note that I am unable to use math symbols. Thus, I will use * to symbolize a partial derivative. For example, u*x denotes the partial derivative of u with repsect to x. Here is the problem: (also note that the PDE is the one-dimensional wave equation) ...continues
Hello. Thank you for taking the time to look at my problem. PLease note that I will use * to indicate a partial derivative. Thus, u*x denotes the partial derivative of u with respect to x. In addition, I will abbreviate u*x with p and u*y with q. Thus, u*x=p and u*y=q. Also, the symbol / means division. Here is the problem: T ...continues
Riemann's method for solving Cauchy problem
Hello. Thanks for help! I will use * to indicate a partial derivative. For example, u*x denotes the partial derivative of u with respect to x. This is the probelm: Use Riemann's method to solve the Cauchy problem: u*xx + 4u*xy +3u*yy = 1, u=1 and u*n = square root of 5 times x, on the intial curve y=2x. If this ...continues
D'Alembert's solution for the one-dimensional wave equation for a semi-infinite string
Hello! Thank you for taking the time to try and solve this problem. Please note that I am unable to use math symbols. Thus, I will use * to symbolize a partial derivative. For example, u*x denotes the partial derivative of u with respect to x. Here is the problem: (also note that the PDE is the one-dimensional wave equation) ...continues
Hello. Thank you for taking the time for helping me. The following is the problem which I need to solve (there are actually two parts): I need to construct Green's function for the Dirichlet problem (Laplace's equation) in the upper half plane R={(x,y) : y>0} and I must derive Poisson's integral formula for the half plane. ...continues
solving a Pfaffian equation for a complete integral
Hello. Thank you for taking the time to help me. I cannot use mathematical symbols, thus, * will denote a partial derivative. For example, u*x denotes the partial derivative of u with respect to x. To simplify things, I will let p=u*x and q=u*y. Furthermore, I will use ^ to denote a power. For example, x^2 means x squared. Also, ...continues
I cannot use mathematical symbols. Thus, I will let * denote a partial derivative. For example, u*x means the partial derivative of u with respect to x. Moreover, I will further simplify things by letting p=u*x and q=u*y. Also, ^ denotes a power (for example, x^2 means x squared) and / denotes division. This is the problem: T ...continues
I cannot use mathematical symbols. Thus, I will let * denote a partial derivative. For example, u*x means the partial derivative of us with respect to x. Furthermore, I will let u*x=p and u*y=q. Also, I will let ^ denote a power. For example, x^2 means x squared, and, I will let / denote division. Here is my problem: The PDE ...continues
Partial Differential Equation simplification
I am trying to simplify Y(y) using the boundary condition Y(1) = 0. Please find details on the attached file. Thanks
Hello. Thank you for taking the time for looking at this problem. I am having some difficulty with this question, although I am completely familiar with the method of seperable variables, eigenvalue problems, and Laplace's equation for a circle. May you please help me with this question (please note that I am unable to use mathe ...continues
