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Solving Linear ODEs
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Description
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The general form of a first order linear ODE is given by the following:
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linear_ode := diff(y(x),x)+f(x)*y(x)-g(x);
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where f(x) and g(x) are arbitrary functions. See Differentialgleichungen, by E. Kamke, p. 16. This type of ODE can be solved in a general manner by dsolve as follows:
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Examples
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![[odeadvisor]](/support/helpjp/helpview.aspx?si=6691/file04377/math31.png)
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![[_linear]](/support/helpjp/helpview.aspx?si=6691/file04377/math38.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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