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, , , ,

(),

- () - 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..





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