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IgorLugansk [536]
3 years ago
11

Find the general solution of the given differential equations. Give the largest interval I over which the general solution is de

fined. Determine whether there are any transient terms in the general solution.
y' + 2xy = (x^3)

ydx = (y(e^y) - 2x)dy

(dP)/(dt) + 2tP = P + 4t - 2
Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0
The general solution of <span>y' + 2xy = (x^3) is y(x) = c1e^(-x^2)

The general solution of </span><span>ydx = (y(e^y) - 2x)dy is x = c1/(y(x))^2 + (e^y(x) ((y(x))^2 - 2y(x) + 2)/(y(x))^2
</span>
The general solution of<span> (dP)/(dt) + 2tP = P + 4t - 2 is P(t) = c1e^(t - t^2) + 2</span>
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