Consider the following Differential Equation (Riccati Equation): = p(x) + q(x)y+r(x)y. y' If u is a...
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Consider the following Differential Equation (Riccati Equation): = p(x) + q(x)y+r(x)y². y' If u is a solution of the given DE, use the transformation y = u +- + + 7/1/2 V to prove that the Riccati equation can be reduced to a first order linear DE in v. Consider the following Differential Equation (Riccati Equation): = p(x) + q(x)y+r(x)y². y' If u is a solution of the given DE, use the transformation y = u +- + + 7/1/2 V to prove that the Riccati equation can be reduced to a first order linear DE in v.
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