Recent content by arrow27

Many important techniques in fields such as CT and MR imaging in medicine, nondestructive testing and scientific visualization are based on trying to recover a matrix from its projections. A small version of the problem is given the sums of the rows and columns of a 2 x 2 matrix, determine the...

But we have u_x and u_x in equations. For example, \[u = {g'(x)}(x + 6y) - 6{g'(x)}(x - 6y)\] Sub this in the first equation?

What can i do?

\begin{array}{l} u = u(x,y) \\ v = v(x,y) \\ and\\ {u_x} + 4{v_y} = 0 \\ {v_x} + 9{u_y} = 0 \\ with\ the\ initial\ conditions \\ u(x,0) = 2x _(3)\\ v(x,0) = 3x _(4)\\ \end{array} Easy, u_{xx}-36u_{yy}=0 and v_{xx}-36v_{yy}=0 General solution u\left ( x,y \right )=h\left ( x+6y \right...

Ιn C are x1,y1.

Find surface of $\begin{array}{l} \text{Problem Cauchy} \\ {a^2} \cdot {x_2} \cdot u \cdot {u_{{x_1}}} + {b^2} \cdot {x_1} \cdot u \cdot {u_{{x_2}}} = 2{c^2}{x_1}{x_2}{\rm{ }} \\ \end{array}$ The partial differntial equation passes through ${\rm{ C: = \{ }}\frac{{{x^2}}}{{{a^2}}} +...