Composite If z=f(x,y)where x=e^u-e^(-v),y=e^(-u)-e^v then prove that (∂z/∂u-∂z/∂v)= x ∂z/∂x- y ∂z/∂y

#Engineering Mathematics I Unit III 38.Example 1 on PDE If u=(x^2-y^2 )f(xy), show that Show that uxx + uyy= (x^4-y^4) f''(xy)- [ Hindi ]    • Example 1 on PDE If u=(x^2-y^2 )f(xy), sho...   39.Example 2 on PDE u=x^2 y^2, v=2xy -- [ Hindi ]    • Example 2 on PDE u=x^2 -y^2, v=2xy -- [ Hi...   40.Example 3 on PDE u=log(x^2+y^2), v=y/x - [ Hindi ]    • Example 3 on PDE u=log(x^2+y^2), v=y/x - [...   41.Example 4 on PDE If u=tan⁡(y+ax)+(y-ax)^(3/2),then prove that(∂^2 u)/(∂x^2 ) =a^2 (∂^2 u)/(∂y^2)- [ Hindi ]    • Example 4 on PDE If  u=tan⁡(y+ax)+(y-ax)^(...   42 Composite function= Φ is a function of x,y and z and If x=u+v+w,y=uv+vw+uw,z=uvw    • Ex of PDE Composite function Φ is a functi...   43Composite If z=f(x,y)where x=e^u-e^(-v),y=e^(-u)-e^v then prove that (∂z/∂u-∂z/∂v)= x ∂z/∂x- y ∂z/∂y    • Composite If z=f(x,y)where x=e^u-e^(-v),y=...   44.variable treated as a constant Simple method and example [ HINDI ]    • variable treated as a constant Simple meth...   45Ex of #Euler’s theorem as U is homogeneous u=x^8 f( y/x )+ 1/y^8 ϕ( x/y )    • Ex of #Euler’s theorem as U is homogeneous...   46.HOW to use Euler's theorem as U is not #Euler’s theorem homogeneous but f(u) is homogeneous [ HINDI]    • HOW to use Euler's theorem as U is not hom...   47. Ex of #Euler’s theorem as U is not homogeneous but F(U) is homogeneous - part I    • Ex of  Eulers theorem as U is not homogene...   48. EX of Euler’s theorem as U is not homogeneous continued PART II [ HINID ]    • EX of Eulers theorem as U is not homogeneo...   49. MCQS    • MCQs on M I -[ Hindi ]   MCQs on PDE Part I    • MCQs on PDE Part I - [ Hindi ]   MCQs on PDE Part II - [ Hindi ]    • MCQs on PDE Part II #Euler’s theorem - [ H...   MCQs on Jacobian, Maxima and Minima, Error-- [ Hindi ]    • MCQs on Jacobian, Maxima and Minima, Error...