Mathematics, 18.02.2020 01:07 agarcia24101993
Consider the initial value problem y' + 2 3 y = 1 − t 2 , y(0) = y0. Find the value of y0 for which the solution touches, but does not cross, the t-axis. (A computer algebra system is recommended. Round your answer to three decimal places.)
Answers: 1
Let 
![=t\int e^{\frac{2}{3}t}dt - \int[\int e^{\frac{2}{3}t}dt\times \frac{d}{dt} (t)]dt](/tpl/images/0513/6461/0f69d.png)
![[(y_\circ-\frac{21}{8} )e^{\frac{-2}{3} t}=\frac{3}{4}t -\frac{21}{8}]](/tpl/images/0513/6461/4f76f.png)
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Consider the initial value problem y' + 2 3 y = 1 − t 2 , y(0) = y0. Find the value of y0 for which...
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