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

Chapter 12, Problem 45

(choose chapter or problem)

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

$\mathbf{y}^{\prime}(t)=2 t \mathbf{i}+3 t^{2} \mathbf{j}, \mathbf{y}(0)=\mathbf{i}-\mathbf{j}$

Equation Transcription:

𝐲 $(t)$

𝐲’ $(t)=2t$ 𝐢 $+3{t}^{2}$ 𝐣,𝐲 $(0)=$ 𝐢-𝐣

Text Transcription:

y(t)

y’(t)=2t i+3t^2 j,y(0)= i-j

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