Mathematics, 06.11.2019 04:31 vant
Abernoulli differential equation is one of the form
dy/dx+p(x)y=q(x)y^n.
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
du/dx+(1−n)p(x)u=(1−n)q(x).
use an appropriate substitution to solve the equation
y′−5/x*y=y^5/x^9,
and find the solution that satisfies y(1)=1.
Answers: 2
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Abernoulli differential equation is one of the form
dy/dx+p(x)y=q(x)y^n.
obs...
dy/dx+p(x)y=q(x)y^n.
obs...
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