Question

(1 point) Find the function $y(t)$ that satisfies the differential equation \\ $\frac{dy}{dt} - 2ty = 6t^2e^{t^2}$ \\ and the condition $y(0) = 1.$ \\ $y(t) = $

          (1 point) Find the function $y(t)$ that satisfies the differential equation \\
$\frac{dy}{dt} - 2ty = 6t^2e^{t^2}$ \\
and the condition $y(0) = 1.$ \\
$y(t) = $

(1 point) Find the function y(t) that satisfies the differential equation

(dy)/(dt) - 2ty = 6t^2e^t^2

and the condition y(0) = 1.

y(t) =

Added by Elizabeth R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

Step 1

Divide both sides of the equation by a: y'' + (2t/a)y' = (6t^2e^t)/a Show more…

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Find the function y(t) that satisfies the differential equation ay'' + 2ty' = 6t^2e^t and the condition y(0) = 1.

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Question

(1 point) Find the function $y(t)$ that satisfies the differential equation \\ $\frac{dy}{dt} - 2ty = 6t^2e^{t^2}$ \\ and the condition $y(0) = 1.$ \\ $y(t) = $

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