real10
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k is an integer greater than 1.
[tex]y'=y^{\frac{-1}{k}}[/tex]
solving this ode in MATLAB gives me this
[tex](\frac{t*k+t+C1*k}{k})^{\frac{k}{1+k}}[/tex] which is correct since the further part of the problem proving a certain limit involving y follows from using the above MATLAB sol.
I am interested in solving this ode by hand.
by hand I am getting [tex]y^{\frac{k+1}{k}}=kt[/tex]
[tex]y'=y^{\frac{-1}{k}}[/tex]
solving this ode in MATLAB gives me this
[tex](\frac{t*k+t+C1*k}{k})^{\frac{k}{1+k}}[/tex] which is correct since the further part of the problem proving a certain limit involving y follows from using the above MATLAB sol.
I am interested in solving this ode by hand.
by hand I am getting [tex]y^{\frac{k+1}{k}}=kt[/tex]
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