[?] Plot two functions in the same contour plot?

[leonardo3 (Leonardo Souza)]

Hi guys i’m new to Mathematica and have what i think may be a simple problem. Say i have two functions of two variables:

f[x_,y_] = x²Sin[y] + y³Cos[x]²


g[x_,y_] = Sin[x]Sin[y]² + x*y*Sin[x]

There is a way to declare this functions and then plot the contours of this two functions in the same graph for exemple f in full lines an g in dash ones.

[rohitnamjoshi]

f[x_, y_] := x^2 Sin[y] + y^3 Cos^2
g[x_, y_] := Sin Sin[y]^2 + x y Sin

Show[ContourPlot[f[x, y], {x, 0, Pi}, {y, 0, Pi}, 
  ContourShading -> None, ContourLabels -> All], 
 ContourPlot[g[x, y], {x, 0, Pi}, {y, 0, Pi}, ContourShading -> None, 
  ContourLabels -> All, ContourStyle -> Dotted]]

[leonardo3 (Leonardo Souza)]

Thank you!