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(Solved): (1 point) A Bernoulli differential equation is one of the form (dy)/(dx)+P(x)y=Q(x)y^(n) Observe tha ...
(1 point) A Bernoulli differential equation is one of the form
(dy)/(dx)+P(x)y=Q(x)y^(n)Observe that, if
n=0or 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^(')-(4)/(x)y=(y^(4))/(x^(8))and find the solution that satisfies
y(1)=1.
y(x)=