The Riccati equation is a nonlinear differential equation that is of considerable importance in particle dynamics. By use of a change of the dependent variable y = -[1/P(x)]dz/dx, show that the Riccati differential equation becomes the one below on the ending point. Notice that the resulting transformation is a second-order linear differential equation.
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The Riccati equation is a nonlinear differential equation that is of considerable importance in particle dynamics. By use of a change of the dependent variable y = -[1/P(x)]dz/dx, show that the Riccati differential equation becomes the one below on the ending point. Notice that the resulting transformation is a second-order linear differential equation.
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The Riccati equation is a nonlinear differential equation that is of considerable importance in particle dynamics. By use of a change of the dependent variable y = -[1/P(x)]dz/dx, show that the Riccati differential equation becomes the one below on the ending point. Notice that the resulting transformation is a second-order linear differential equation.
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