√100以上 d^2y/dx^2-y=2/1 e^x 115258-D^2y/dx^2+dy/dx+y=(1-e^x)^2
Implicit Differentiation Advanced Example Video Khan Academy Given (D^2 D 4) y = e^2x Eq 1 To find a particular integral Let us look for it in the form of y = A e^2x Substituting in EQ 1, we get (4A 2A 4A) e^2x = e^2x OR, 10A = 1 OR, A = 1/10 Answer One particular integral of the given equation is y=e^(2x) / 10 Answer dy/dx = Stepbystep explanation e^ (xy) − y² = e^ (−4) To get dy/dx, we will differentiate with respect to x applying both chain rule and product rule Thus; D^2y/dx^2+dy/dx+y=(1-e^x)^2