Mathematics, 02.10.2019 03:20 YSGabino2991
Abernoulli differential equation is one of the formdy/dx + 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 equationdu/dx + (1−n)p(x)u = (1−n)q(x).use an appropriate substitution to solve the equation y′−4xy=y3x2, and find the solution that satisfies y(1)=1.
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Abernoulli differential equation is one of the formdy/dx + p(x)y = q(x)yn. observe that, if n=0 or 1...
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