How to solve single non-linear equation?
1 回表示 (過去 30 日間)
古いコメントを表示
Can anyone please help in solving the following equation:
d/dt[V.(X/1-X)]= An-Ax-Bx
where, V and X are function of t.
A,B, and n are constants
2 件のコメント
採用された回答
Walter Roberson
2021 年 9 月 21 日
syms A B n X(t) V(t)
eqn = diff(V(t) .* X(t)/(1-X(t)), t) == A*n - A*X(t) - B*X(t)
SE = simplify(lhs(eqn) - rhs(eqn))
collect(SE, X(t))
dsolve(ans)
You do not have a single linear equation. You are taking the derivative of a multiple of function V and function X and that is something that cannot be resolved by itself.
3 件のコメント
Walter Roberson
2021 年 9 月 22 日
Please confirm that what you are taking the derivative of on the left side is the product of two unknown functions in t.
If so, then my understanding is the situation cannot be resolved -- in much the same way that you cannot solve a single equation in two variables except potentially down to finding a relationship between the variables.
In some cases it can be resolved. For example, if V(t) is known to be linear
syms A B n X(t) V(t) C2 C1 C0
V(t) = C1*t + C0
eqn = diff(V(t) .* X(t)/(1-X(t)), t) == A*n - A*X(t) - B*X(t)
SE = simplify(lhs(eqn) - rhs(eqn))
col = collect(SE, X(t))
sol = simplify(dsolve(col))
... which is independent of time. Extending V(t) to quadratic gives you a situation dsolve() is not able to resolve.
その他の回答 (0 件)
参考
カテゴリ
Help Center および File Exchange で Calculus についてさらに検索
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!