1 point) A Bernoulli differential equation is one of the form
dydx+P(x)y=Q(x)yn.
Observ...
Mathematics, 20.03.2021 03:00 SucMaDongShan
1 point) A Bernoulli differential equation is one of the form
dydx+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=y1−n transforms the Bernoulli equation into the linear equation
dudx+(1−n)P(x)u=(1−n)Q(x).
Use an appropriate substitution to solve the equation
y′−7xy=y4x16,
and find the solution that satisfies y(1)=1.
y(x)=?
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