| ⎧ | x2y'+y4=0 | |
| ⎩ | y(1)=1 |
| y4 | ||
y'=− | ||
| x2 |
| dy | y4 | ||
=− | |||
| dx | x2 |
| y4 | ||
dy=− | dx | |
| x2 |
| y4 | ||
dy = − | dx | |
| x2 |
| dy | dx | ||
=− | |||
| y4 | x2 |
| 1 | 3−3Cx | ||
=− | doszedłem do tego momentu, co teraz zrobić ? | ||
| y3 | x |
| 1 | 1 | |||
− | y−3 = | + C | ||
| 3 | x |
| 1 | −3 − 3Cx | ||
= | |||
| y3 | x |
| −x | ||
y3 = | ||
| 3 + 3Cx |
| −1 | ||
1 = | ||
| 3 + 3C |
| 3√x | ||
y = 3√−x/(3 − 4x) = | ||
| 3√4x − 3 |