Question

Find the general solution of the given differential equation. dy + y = e^{2x} dx y(x) = frac{1}{3}e^{2x} + ce^{-x} Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) (-infty,infty) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.) NONE

          Find the general solution of the given differential equation.
dy + y = e^{2x}
dx
y(x) = frac{1}{3}e^{2x} + ce^{-x}
Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.)
(-infty,infty)
Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.)
NONE

$Find the general solution of the given differential equation. dy + y = e^2x dx y(x) = frac13e^2x + ce^-x Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) (-infty,infty) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.) NONE$

Added by Michael W.

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