Let g be an arbitrary differentiable function of x. Consider the first order ODE dy g(x) dr (sin(z) ec(=) – 1) g² - dg dr Use an appropriate substitution to determine its solution y(x), in terms of g(x).

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Chapter4: Eigenvalues And Eigenvectors
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(c) Let g be an arbitrary differentiable function of x. Consider the first order ODE
dy
g(x)
d.x
(sin(x) eco(e) – 1)y² + y
dg
dx
Use an appropriate substitution to determine its solution y(x), in terms of g(x).
Transcribed Image Text:(c) Let g be an arbitrary differentiable function of x. Consider the first order ODE dy g(x) d.x (sin(x) eco(e) – 1)y² + y dg dx Use an appropriate substitution to determine its solution y(x), in terms of g(x).
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