For all the help so far guys. I've solved the damn thing by hand. I just can't get maple to do the same thing for me :(

So how do I type this step by step into maple?

So how do I type this step by step into maple?

@tatan2501 

Let X=(0,∞) x R and y=>g(y) be a given function. Find the solution:

(x,y)==>u(x,y)

To the initial value problem

(-x-y)u_x(x,y)-(y)u_y(x,y)+u(x,y)=0 for all (x,y)belonging to X

subject to u(0,y)=g(y).

@tatan2501 

Let X=(0,∞) x R and y=>g(y) be a given function. Find the solution:

(x,y)==>u(x,y)

To the initial value problem

(-x-y)u_x(x,y)-(y)u_y(x,y)+u(x,y)=0 for all (x,y)belonging to X

subject to u(0,y)=g(y).

@J P I want to find u(x,y)

@J P I want to find u(x,y)

@tatan2501 

Solve the PDE in terms of x and y

@tatan2501 

Solve the PDE in terms of x and y

@tatan2501 

I get them through:

charcurve := dsolve({ic1,ic2, chareq1,chareq2},{x(s),y(s)});

which yields:

charcurve := {x(s) = y[0]*s*exp(-s), y(s) = y[0]*exp(-s)}

@tatan2501 

I get them through:

charcurve := dsolve({ic1,ic2, chareq1,chareq2},{x(s),y(s)});

which yields:

charcurve := {x(s) = y[0]*s*exp(-s), y(s) = y[0]*exp(-s)}

Cheers, how do I solve it now I have charcurve?

Cheers, how do I solve it now I have charcurve?

How would I go about plotting them?

How would I go about plotting them?