y"(x)+a*x^2*y'(x)+b*z(x)-c*y(x)=y'(t),
z"(x)+a*x^2*z'(x)+b*z(x)-c*y(x)=z'(t),
y(0)=0, y'(0)+z'(0)=0,
y(infinity)=1, t=0, z(infinity)=k
Kumar Anubhav Tiwari
Please check the link:
https://uk.mathworks.com/help/symbolic/solve-a-single-differential-equation.html#f1-11214
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Sanjay Kharche
In the notation you use, it appears that your y and z depend on two free variables, t and x. First, initial conditions for all y and z at t = 0 need to be given. Second, boundary conditions for the PDE are also needed to make the problem well posed.
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