I need help using dsolve, when using dsolve in matlab 2015b I get the returned an answer with solve.

input

syms y t

dsolve('Dy == (exp(y))/((t*exp(y))-sin(y))')

return:

ans =

solve(cos(y) + 2*sin(y) - 5*t*exp(y) + 5*C5*exp(2*y) == 0, y)

Answer 1

[Walter Roberson]

When you pass a string to dsolve, your string needs to be in MuPAD syntax, which uses = for comparison instead of == .

I recommend providing dsolve with all of the hints that you can:

syms y(t)
dsolve( diff(y(t), t) == exp(y(t))/(t*exp(y(t))-sin(y(t))) )

[Stuart Willis]

Using that it still gives same ans

 syms y(t)
dsolve( diff(y(t), t) == exp(y(t))/(t*exp(y(t))-sin(y(t))) )
Warning: Explicit solution could not be found; implicit solution returned. 
> In dsolve (line 208)

ans =

solve(cos(y) + 2*sin(y) - 5*t*exp(y) + 5*C4*exp(2*y) == 0, y)

[Torsten]

Given t, solve

cos(y) + 2*sin(y) - 5*t*exp(y) + 5*C4*exp(2*y) = 0

for y and you get your solution function y(t).

This can by done by fzero, e.g.

Best wishes

Torsten.

[Walter Roberson]

Note: there may be multiple solutions