An equation of the form is called a Riccati equation. (a) If p(x) 0 show that the equation is linear. If r(z) 0 show that it is a Bernoulli equation. (b) If y = n(x) is some particular solution, show that the change of variable y = y(x) + leads to a linear equation in u.

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(6) An equation of the form
is called a Riccati equation.
(a) If p(r) 0 show that the equation is linear. If r(z) 0 show that it is a Bernoulli equation.
(b) If y = m(x) is some particular solution, show that the change of variable y = y(2) + leads to a
linear equation in u.
Transcribed Image Text:(6) An equation of the form is called a Riccati equation. (a) If p(r) 0 show that the equation is linear. If r(z) 0 show that it is a Bernoulli equation. (b) If y = m(x) is some particular solution, show that the change of variable y = y(2) + leads to a linear equation in u.
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