A Bernoulli differential equation is one of the form Use an appropriate substitution to solve the equation Observe that,
Posted: Wed Jul 06, 2022 12:40 pm
A Bernoulli differential equation is one of the form Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = y¹ transforms the Bernoulli equation into the linear equation du dar. and find the solution that satisfies y(1) = -6. dy da y(x) = + P(x)y= Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). xy + y = 3xy²,