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Find the sum of (x + y) + (x^2 + xy + y^2) + (x^3 + x^2y + xy^2 + y^3) + .....n terms? ... Let S = (x+y) + (x²+xy+y²) + ... to n terms. Multiplying both sides by (x-y),
Find dy/dx by implicit differentiation.....x^3-xy+y^2? ... x^3-xy+y^2=0? 3x^2+x(dy/dx)+y(1)+2y(dy/dx)=0? 3x^2+x(dy/dx)+y+2y(dy/dx)=0 ----(1)
Here's my approach: let v = y' (v')^2 - xv' … ... Here's my approach: let v = y' (v')^2 - xv' + v = 0, we have a quadratic. a = 1, b = -x, c = v
I understand the equation and solution but proofs are like milking a chicken multiply X*X=X^2 X*Y=XY-Y*X=-XY-Y*Y=-Y^2 and so combine this into one equation you get X^2+(XY-XY)-Y^2
Find the solution of the following differential equation (a) xy y' = 2y 2 + 4x 2, y(2) = 4 (b) 2x tan ydx + sec 2 y dy = 0 (c) y' cos x = y sin x + sin 2x (d) x 2 y' + xy =1, x > 0 ...
The identity ( xy/y ) y = xy holds in anyresiduated lattice since xy/yxy/y implies ( xy/y ) yxy ,and xyxy implies xxy/y ,hence xy ( xy/y ) y .By right ...
xy y x y x y x y y x x XX X X G E m l m E l E A T 2 1 2 1 1 1 2 2 4 4 + + + = xy y x y x y x y y x x G E E E 2 1 sin cos 2 sin 1 cos 1 2 2 4 4 (6) 3.
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