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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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