Solved: 4548 Solve the vector initial-value problem for y(t) by integratingand using the

Chapter 12, Problem 47

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Solve the vector initial-value problem for $\mathbf{y}(t)$ by integrating and using the initial conditions to find the constants of integration.

$\mathbf{y}^{\prime \prime}(t)=\mathbf{i}+e^{t} \mathbf{j}, \mathbf{y}(0)=2 \mathbf{i}, \mathbf{y}(0)=\mathbf{j}$

Equation Transcription:

𝐲 $(t)$

𝐲” $(t)=$ 𝐢 $+{e}^{t}$ 𝐣, 𝐲 $(0)=2$ 𝐢, 𝐲 $(0)=$ 𝐣

Text Transcription:

y(t)

y”(t)=i+e^t j, y(0)=2i, y(0)=j

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