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Solving Homogeneous ODEs of Class A
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Description
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The general form of the homogeneous equation of class A is given by the following:
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homogeneousA_ode := diff(y(x),x)=f(y(x)/x);
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where f(y(x)/x) is an arbitrary function. See Kamke's book, p. 19. This type of ODE can be solved in a general manner:
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Examples
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![[odeadvisor]](/support/helpjp/helpview.aspx?si=7207/file04372/math28.png)
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![[[_homogeneous, `class A`], _dAlembert]](/support/helpjp/helpview.aspx?si=7207/file04372/math35.png)
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See Also
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DEtools, odeadvisor, dsolve, and ?odeadvisor,<TYPE> where <TYPE> is one of: quadrature, linear, separable, Bernoulli, exact, homogeneous, homogeneousB, homogeneousC, homogeneousD, homogeneousG, Chini, Riccati, Abel, Abel2A, Abel2C, rational, Clairaut, dAlembert, sym_implicit, patterns; for other differential orders see odeadvisor,types.
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