- #1

pm1366

- 20

- 0

## Homework Statement

i'm trying to find a solution for these two equations, p & q are variables and c is known constant (it's given randomly) :

$$

\begin{align}

F_1=&\left(p^2q^2(p^2-q^2)+c^2(p^4+q^4-6p^2q^2)-3c^4(p^2-q^2)-4c^6\right)\sin(p)\sinh(q)+\\&2pq\left(-p^2q^2+3c^2(p^2-q^2)-7c^4\right)\cos(p)\cosh(q)-\\&pq\left(p^4+q^4+2c^2(q^2-p^2)+2c^4\right)\cos(2c)

\\

F_2=&2cp\left(3p^2q^2-q^4-c^2(p^2+q^2)+4c^4\right)\cos(p)\sinh(q)+\\&2cq\left(p^4-3p^2q^2-c^2(p^2+q^2)-4c^4\right)\sin(p)\cosh(q)+\\&pq(p^2+q^2)(q^2-p^2+2c^2)\sin(2c)

\end{align}

$$

(F1 is taken from real part of an equation and F2 is taken from its imaginary part and both are equal to zero)

i want to solve F1 & F2 to find p and q for a given c

p and q are real variables (they were taken from a complex unknown previously p+qi, i mean we know that p and q must be Real)

## Homework Equations

all above

## The Attempt at a Solution

i tried with both maple and MATLAB with solve command but it takes a long time running for them and finally there's no answer & my PC gets slow !

any procedure or solution that can help or maybe a way to solve with maple or MATLAB is appreciated .

thanks a lot in advance.