second solution
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21—30 of 102 matching pages
21: Bibliography G
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Computing the zeros and turning points of solutions of second order homogeneous linear ODEs.
SIAM J. Numer. Anal. 41 (3), pp. 827–855.
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22: Bibliography M
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On the choice of standard solutions for a homogeneous linear differential equation of the second order.
Quart. J. Mech. Appl. Math. 3 (2), pp. 225–235.
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Rational solutions of the second and the fourth Painlevé equations.
Funkcial. Ekvac. 28 (1), pp. 1–32.
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Hyperasymptotic solutions of second-order ordinary differential equations with a singularity of arbitrary integer rank.
Methods Appl. Anal. 4 (3), pp. 250–260.
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23: Bibliography T
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Asymptotic solution of a linear nonhomogeneous second order differential equation with a transition point and its application to the computations of toroidal shells and propeller blades.
J. Appl. Math. Mech. 23, pp. 1549–1565.
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24: 3.8 Nonlinear Equations
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►For describing the distribution of complex zeros of solutions of linear homogeneous second-order differential equations by methods based on the Liouville–Green (WKB) approximation, see Segura (2013).
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25: 10.2 Definitions
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§10.2(ii) Standard Solutions
…26: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
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►This question may be rephrased by asking: do and satisfy the same boundary conditions which are needed to fully specify the solutions of a second order linear differential equation? A simple example is the choice , and , this being only one of many.
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27: 3.7 Ordinary Differential Equations
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►Consideration will be limited to ordinary linear second-order
differential equations
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►For general information on solutions of equation (3.7.1) see §1.13.
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§3.7(ii) Taylor-Series Method: Initial-Value Problems
… ► … ►Second-Order Equations
…28: 30.5 Functions of the Second Kind
§30.5 Functions of the Second Kind
►Other solutions of (30.2.1) with , , and are ►
30.5.1
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30.5.2
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30.5.3
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29: Bibliography B
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Uniform asymptotic solutions of a class of second-order linear differential equations having a turning point and a regular singularity, with an application to Legendre functions.
SIAM J. Math. Anal. 17 (2), pp. 422–450.
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30: Bibliography K
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The second Painlevé equation in electric probe theory. Some numerical solutions.
Zh. Vychisl. Mat. Mat. Fiz. 38 (6), pp. 992–1000 (Russian).
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The second Painlevé equation in the electrostatic probe theory: Numerical solutions for the partial absorption of charged particles by the surface.
Technical Physics 49 (1), pp. 1–7.
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