The equation dy dx A(x)y 2 B(x)y C(x) is called a Riccati equation Suppose that one particular solution y 1 (x) of this equation is known Show that the substitution transforms the Riccati equation into the linear equation 1 P 1

Question: The equation dy/dx = A(x)y 2 + B(x)y + C(x) is called a Riccati equation. Suppose that one particular solution y 1 (x) of this

The equation dy/dx = A(x)y² + B(x)y + C(x) is called a Riccati equation. Suppose that one particular solution y₁(x) of this equation is known. Show that the substitution

transforms the Riccati equation into the linear equation

1 P = 1 +

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