15 Reputation

4 years, 264 days

Splitting ODE ?...

Maple

I have an ODE with L(x,y), which includes partial derivatives of L(x,y) and coefficients y,_y1 and _y1^2. I want to split this equation into seperate equations of these coefficients. So I can solve for the unknown variable L(x,y).

ODE:=diff(L(x,y),x,x)+2*_y1(x)*diff(L(x,y),x,y)+_y1(x)^2*diff(L(x,y),y,y)+y(x)/x*diff(L(x,y),x)+(y(x)*_y1(x)/x+_y1(x))*diff(L(x,y),y)-y(x)/x^2*L(x,y)=0;

Could someone help me?

I am currently trying to use the coeffs command but not really getting anywhere.

Thank you.

Writing an operator...

Hello,

I am trying to write

D= d/dx + y1*d/dy + y*y1/x*d/dy1

So that I can apply D to some function L(x,y)

But I don't know how to write the derivative like this without them operation on a function. Can somebody help me?

Thank you

Function of (x,y,y') ?...

Maple

Hello,

I am trying to get W(x,y,y')=y*y'/x

I am trying

omega:=(x, y(x), (diff(y(x),x)))-> (y(x)*(diff(y(x), x))/x);

but get

Error, invalid parameter; functional operators require their parameters to be of type symbol or (symbol::type)

Can anyone help me out?

thank you

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