O'rta maxsus ta'lim

§. Asosiy tushunchalar. O ’zgaruvchilari ajraladigan tenglamalar 4

§. Bir jinsli differensial tenglamalar 13

§. Chiziqli differensial tenglamalar va ularga keltiriladigan tenglamalar 20

§. To’liq differensialli tenglamalar. Integrallovchi k o ’paytuvchi 26

§. Hosilaga nisbatan yechilmagan birinchi tartibli tenglamalar 32

1. 
   - bobga doir misol va masalalaming javoblari 42
   
2. 
   BOB. YUQOR1 TARTIBLI DIFFERENSIAL TENGLAMALAR
   

1. 
   -§. Tartibini pasaytirish mumkin bo’lgan differensial tenglamalar 47
   

2. 
   §. Yuqori tartibli chiziqli differensial tenglamalar 53
   
3. 
   §. O ’zgarmas koeffitsientli chiziqli differensial tenglamalar 58
   

2. 
   - bobga doir misol va masalalaming javoblari 62
   
3. 
   BOB. DIFFERENSIAL TENGLAMALAR VA Maple KOMPYUTER DASTURI
   

1. 
   §. Differensial tenglamalami analitik yechish 65
   
2. 
   §. Differensial tenglamalami taqribiy yechish va tasvirlash 67
   

Ilova. M ustaqil ish uchun individual vazifalar 69
Adabiyotlar 81
M undarija 82
Contents

Preface C hapter I. FIRST O RD ER DIFFERENTIAL E Q U A T IO N S		3
1-§. Basic concepts, separable differential equations		4
2-§. H om ogeneous differential equations		13
3-§. Linear differential equations and equations, w ho reduced	to him	20
4-§. Exact differential equations. Integrating Factor		26
5-§. Som e other classes o f first order differential equations		32
A nswers o f problem s and exam ples o f C hapter I		42

C hapter II. H IG H ER O RD ER D IFFEREN TIAL E Q U A T IO N S

t 1-§. E quations, allow ing reduction o f the order 47
1 2-§. H igher order linear equations 53
j3 -§. H om ogeneous linear equations with constant coefficients 58
A nswers o f problem s and exam ples o f C hapter II 62

C hapter III. D IFFER EN TIA L EQUATIONS A N D M A PLE C O M PU TER SYSTEM

1.