, , , ,
(),
- () - y'(), ''() (n).
f{,(),y'(),... y(n)()} = 0.
+ *' = 4.
Y = 10
, Y(x), .
- - . Y = 10x + . (10x + )= 10.
10 10.
(t). (t) = V'(t) = x ''(t) - , : x''(t) =ΣF / m = mg / m = 9,8 = 10.
( x''(t) = g)
m*x''(t) = - k*x(t).
m*V'(t) = mg - 6*π*η*r*V(t).
y = f(x)
Y(x) =∫ f(x)dx = F(x) + C.
: x3*y' = 7.
y' y' = 7*x-3. y(x) , ,
∫ 7*x-3 dx = - 7*( -2) / 2 + .
, y(x) .
: . y = - 7*( -2) / 2 + - . ( ).
y(x0) = y0.
F(x), .
- , XY, .
:
x*y*y' = 3.
:
g(y)dy = f(x)dx,
!
.
y' dx , y'dx dy (y'dx = dy).
: x*y*dy = 3* dx.
x: y*dy = 3* dx/. , : ∫y*dy = ∫3* dx/. : y = (6 Lnx + C)1/2.
|
|
, , .
, (m) (n):
P = m/n.
.
.
n, m , n > m,
0 ≤ P ≤ 1.
0, 1.
= 1/,
- .
, 腅..