+ + + =

CAS Tests for Differential Equations

Table 1. summarizes the Kamke equations numbering

book chapter	kamke equation numbers	This report numbers
Chapter 1, linear first order	1.1—1.576	1—576
Additional non-linear first order	N/A	577—1000
Chapter 2, linear second order	2.1—2.448	1001—1448
Chapter 3, linear third order	3.1—3.85	1449—1533
Chapter 4, linear fourth order	4.1—4.44	1534—1577
Chapter 5, linear fifth and higher order	5.1—5.13	1578—1590
Chapter 6, non-linear second order	6.1—6.246	1591—1836
Chapter 7, non-linear third and higher order	7.1—7.19	1837—1855
Chapter 8, system of ode, first order	8.1—8.57	1856—1912
Chapter 9, system of ode, higher order	9.1—9.28	1913–1940

Test 1 for problem 1-104, 1001-1050, 1591-1607, there are 104 problems of first order ODE in chapter 1, there are 50 problems of linear second order in chapter 2, and there are 17 problems of nonlinear second order ODE in chapter 6.
Test 2 for 1246 problems of ODE.
Test 3 for 110 problems as follows:

Table 2. Test Result

Test		Wolfram		MathHandbook
	problems	solved	%	solved	%
1	104+50+17=171	88+41+7=136	79.5	96+45+14=155	90.6
2	1246	148	12	1246	100
3	110	8	7.4	110	100
total	1527	292	20	1511	99