ﬁrst order ode form A1

Table 2.445: ﬁrst order ode form A1


#	ODE	CAS classiﬁcation	Solved?

159	$y^{'} = f (a x + b y + c)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

165	$y^{'} = \sin (x - y)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

1237	$y^{'} = e^{x + y}$	[_separable]	✓

2321	$y^{'} = e^{3 + t + y}$	[_separable]	✓

2492	$y^{'} = e^{3 + t + y}$	[_separable]	✓

3296	$y = x + 3 \ln (y^{'})$	[_separable]	✓

4102	$y^{'} = e^{x - 2 y}$ i.c.	[_separable]	✓

4216	$y^{'} = e^{x - y}$	[_separable]	✓

4711	$y^{'} = a + b \cos (A x + B y)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

4731	$y^{'} = e^{x + y}$	[_separable]	✓

4736	$y^{'} = f (a + b x + c y)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

6129	$y^{'} = \cos (x + y)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

6256	$y^{'} - \sin (x + y) = 0$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

6883	$\sin (y^{'}) = x + y$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

7069	$y^{'} = e^{3 x + 2 y}$	[_separable]	✓

7402	$y^{'} = e^{x - y}$	[_separable]	✓

7407	$y^{'} = \cos (x - y)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

7411	$y^{'} = \cos (x - y - 1)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

8770	$y^{'} = - 4 \sin (x - y) - 4$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

8771	$y^{'} + \sin (x - y) = 0$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

9050	$y^{'} = e^{x + y}$	[_separable]	✓

9051	$y^{'} = 10 + e^{x + y}$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

10090	$y^{'} - \cos (b x + a y) = 0$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

10097	$y^{'} - f (a x + b y) = 0$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

13776	$y^{'} = e^{x - y}$	[_separable]	✓

13873	$y^{'} = \cos (x + y)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

14290	$y^{'} = e^{x - y}$	[_separable]	✓

14291	$y^{'} = \ln (x + y)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

14964	$y^{'} = \sin (x + y)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

14971	$y^{'} = e^{2 x - 3 y}$	[_separable]	✓

15124	$y^{'} = e^{4 x + 3 y}$	[_separable]	✓

15125	$y^{'} = \tan (6 x + 3 y + 1) - 2$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

15126	$y^{'} = e^{4 x + 3 y}$	[_separable]	✓

15830	$y^{'} = e^{2 y + 10 t}$	[_separable]	✓

15831	$y^{'} = e^{3 y + 2 t}$	[_separable]	✓

15868	$y^{'} = e^{x - y}$ i.c.	[_separable]	✓

16606	$y^{'} = \cos (x - y)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

16637	$y^{'} = \sin (x - y)$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

16813	$y^{'} - 1 = e^{x + 2 y}$	[[_homogeneous, ‘class C‘], _dAlembert]	✓

2.3.26 ﬁrst order ode form A1