hamidD
Jul10-08, 08:53 AM
hello
I want to find exact solution of a nonlinear ode with its boundary conditions . the equation
and its b.cs are written below :
a*y''''+y''' y -y'' y' = 0 y(h/2)=V1 , y(-h/2)=V2 , y'(h/2)=0 , y'(-h/2)=0
where V1 , V2 , a and h are constant .
although with integerating from above equation , the order of ode reduce to 3 but the problem is until unsolveable .
after integrating from above equation we have : a y''' +y'' y -y'^2 =C
where C is constant .
I want to find exact solution of a nonlinear ode with its boundary conditions . the equation
and its b.cs are written below :
a*y''''+y''' y -y'' y' = 0 y(h/2)=V1 , y(-h/2)=V2 , y'(h/2)=0 , y'(-h/2)=0
where V1 , V2 , a and h are constant .
although with integerating from above equation , the order of ode reduce to 3 but the problem is until unsolveable .
after integrating from above equation we have : a y''' +y'' y -y'^2 =C
where C is constant .