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I am trying to solve the following differential equation:

DSolve[{y''[x] == A*B (y[x])^2, y'[0] == -B*C, y'[-D] == 0}, y[x], x]

DSolve[{y''[x] == A*B (y[x])^2, y'[0] == -B*C, y'[-D] == 0}, y[x], x]

For my system, this differential equation would be valid in the range of -D < x < 0-D < x < 0. Mathematica says: "For some branches of the general solution, unable to solve the conditions."

For some branches of the general solution, unable to solve the conditions.

Without boundary conditions, I get a solution consisting of a Weierstrass elliptic function, but Mathematica is not able to solve for the boundary conditions, even if I use a simpler series expansion of the solution.

In general, I am not directly interested in y[x]y[x], but in y[0]/Cy[0]/C. I have experimental data for sets of y[0]y[0], BB, CC and DD.

Ideally, I would like to have a general solution for y[0]/Cy[0]/C to be able to analyze it and to compare the behavior with my experimental data, but I am not able to solve the boundary value problem. Maybe a part of the problem is that the Weierstrass elliptic functions are periodic and I only need one branch of that ?

If a general solution is not possible, a numerical solution could also be helpful. How could I calculate the value of AA for the data sets of y[0]y[0], BB, CC and DD ? I appreciate any help.

I am trying to solve the following differential equation:

DSolve[{y''[x] == A*B (y[x])^2, y'[0] == -B*C, y'[-D] == 0}, y[x], x]

For my system, this differential equation would be valid in the range of -D < x < 0. Mathematica says: "For some branches of the general solution, unable to solve the conditions." Without boundary conditions, I get a solution consisting of a Weierstrass elliptic function, but Mathematica is not able to solve for the boundary conditions, even if I use a simpler series expansion of the solution.

In general, I am not directly interested in y[x], but in y[0]/C. I have experimental data for sets of y[0], B, C and D.

Ideally, I would like to have a general solution for y[0]/C to be able to analyze it and to compare the behavior with my experimental data, but I am not able to solve the boundary value problem. Maybe a part of the problem is that the Weierstrass elliptic functions are periodic and I only need one branch of that ?

If a general solution is not possible, a numerical solution could also be helpful. How could I calculate the value of A for the data sets of y[0], B, C and D ? I appreciate any help.

I am trying to solve the following differential equation:

DSolve[{y''[x] == A*B (y[x])^2, y'[0] == -B*C, y'[-D] == 0}, y[x], x]

For my system, this differential equation would be valid in the range of -D < x < 0. Mathematica says:

For some branches of the general solution, unable to solve the conditions.

Without boundary conditions, I get a solution consisting of a Weierstrass elliptic function, but Mathematica is not able to solve for the boundary conditions, even if I use a simpler series expansion of the solution.

In general, I am not directly interested in y[x], but in y[0]/C. I have experimental data for sets of y[0], B, C and D.

Ideally, I would like to have a general solution for y[0]/C to be able to analyze it and to compare the behavior with my experimental data, but I am not able to solve the boundary value problem. Maybe a part of the problem is that the Weierstrass elliptic functions are periodic and I only need one branch of that ?

If a general solution is not possible, a numerical solution could also be helpful. How could I calculate the value of A for the data sets of y[0], B, C and D ? I appreciate any help.

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Problem solving a nonlinear differential equation with specific boundary conditions

I am trying to solve the following differential equation:

DSolve[{y''[x] == A*B (y[x])^2, y'[0] == -B*C, y'[-D] == 0}, y[x], x]

For my system, this differential equation would be valid in the range of -D < x < 0. Mathematica says: "For some branches of the general solution, unable to solve the conditions." Without boundary conditions, I get a solution consisting of a Weierstrass elliptic function, but Mathematica is not able to solve for the boundary conditions, even if I use a simpler series expansion of the solution.

In general, I am not directly interested in y[x], but in y[0]/C. I have experimental data for sets of y[0], B, C and D.

Ideally, I would like to have a general solution for y[0]/C to be able to analyze it and to compare the behavior with my experimental data, but I am not able to solve the boundary value problem. Maybe a part of the problem is that the Weierstrass elliptic functions are periodic and I only need one branch of that ?

If a general solution is not possible, a numerical solution could also be helpful. How could I calculate the value of A for the data sets of y[0], B, C and D ? I appreciate any help.