let me give you specific example, if z=sin(3x+2y), the its pd w.r.t x= cos(3x+2y) . 3 and w.r.t y= cos(3x+2y) . 2 so if we have some function of expression in x and y, so by chain rule first derivative is ordinary derivative of that function common in both after that we talk about the expression in bracket which contains both x and y
in example 1-3 all are having one order PDE as there is one arb function but in example 4 one time PD will not eliminate arb functions so one more time differentiation will solve the purpose of elimination of functions
Awesome tutorial. I don't had any knowledge of differential equations but now i can form them easily
nice lecture mam
Thanks
Thank you very much, you are a legend.
great lecture
Plz solve this
Convert the differential equation
y´´+2y´-8y=5x²-3x,with y(0)=-2,y´(0)=3 into integral equation
When f is partially diff. w.r.t x and when it is partially diff. w.r.t y both results to same f' ? Please explain!
let me give you specific example, if z=sin(3x+2y), the its pd w.r.t x= cos(3x+2y) . 3 and w.r.t y= cos(3x+2y) . 2 so if we have some function of expression in x and y, so by chain rule first derivative is ordinary derivative of that function common in both after that we talk about the expression in bracket which contains both x and y
@@maths.tutor4u172 Got it Ma'am 💜 thankyou so much .
Why we doing 2 time differentiation while it will solved in 1 time differentiation
in example 1-3 all are having one order PDE as there is one arb function but in example 4 one time PD will not eliminate arb functions so one more time differentiation will solve the purpose of elimination of functions
Thank you
Mam what is p,q,r,s,t
Ok thank you
P= df/dx
Q=df/dy
R=d2f/dx2
S=d2f/dxdy
T=d2f/dy2
Likwise for arbitrary const. The f is replaced by z .
Fourth one is little bit twisty
you can ask your query about that
Can I contact with you