A Bernoulli differential equation is one of the form dxdy+P(x)y=Q(x)yn
Observe that, if n=0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u=y^(1−n) transforms the Bernoulli equation into the linear equation du/dx+(1−n)P(x)u=(1−n)Q(x)
Use an appropriate substitution to solve the equation y'−(3/x)y=y^4/x^2 and find the solution that satisfies y(1)=1
Get Answers For Free
Most questions answered within 1 hours.