DSolve[{x^3y’‘’'[x] +
12x^2* y’‘’ +
36x y’‘ +
24 y’ + 60x^3(7 - 18* x^2 + 3* x^8)* (y)^9 ? 0,
y[0] ? 1, y’[0] ? 0, y’’ ? 0, y’‘’[0] ? 0}, y, x]
I want to solve this question.i need its exact solution (its exact solution exists). Mathematica gives “DSolve::dvnoarg : The function y appears with no arguments. ?”
Please help
Your initial condition for y’’ has no argument.
I write argument of y’’ but now the error is "
DSolve::deqn: Equation or list of equations expected instead of True
in the first argument {60 x^3 (7-18 x^2+3 x^8) y[x]^9+24 (y^\[Prime])[x]
+36 x (y^\[Prime]\[Prime])[x]+12 x^2 (y^(3))[x]+x^3 (y^(4))[x]==0,True,0,True,True}. >>
I write argument of y’’ but now the error is "
DSolve::deqn: Equation or list of equations expected instead of True
in the first argument {60 x^3 (7-18 x^2+3 x^8) y[x]^9+24 (y^\[Prime])[x]
+36 x (y^\[Prime]\[Prime])[x]+12 x^2 (y^(3))[x]+x^3 (y^(4))[x]==0,True,0,True,True}. >>
Easier to diagnose problems when they are posted in code sample windows (first icon). However, I’m guessing you’ve got uncleared expressions that are resulting in the True that you see.
It appears that Mathematica cannnot solve it symbolically.
In[5]:= DSolve[{y''''[x] + 12/x y'''[x] + 36/x^2 y''[x] +
24/x^3 y'[x] + 60 (7 - 18 x^4 + 3 x^8) y[x]^9 == 0, y[0] == 1,
y'[0] == 0, y''[0] == 0, y'''[0] == 0}, y[x], x]
Out[5]= DSolve[{60 (7 - 18 x^4 + 3 x^8) y[x]^9 + (
24 Derivative[1][y][x])/x^3 + (36 (y^\[Prime]\[Prime])[x])/x^2 + (
12
\!\(\*SuperscriptBox[\(y\),
TagBox[
RowBox[{"(", "3", ")"}],
Derivative],
MultilineFunction->None]\)[x])/x +
\!\(\*SuperscriptBox[\(y\),
TagBox[
RowBox[{"(", "4", ")"}],
Derivative],
MultilineFunction->None]\)[x] == 0, y[0] == 1,
Derivative[1][y][0] == 0, (y^\[Prime]\[Prime])[0] == 0,
\!\(\*SuperscriptBox[\(y\),
TagBox[
RowBox[{"(", "3", ")"}],
Derivative],
MultilineFunction->None]\)[0] == 0}, y[x], x]
Plz Mathematica team help me
Seems to be very difficult. At least you can get an impression of the solution by a numerical method…