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(Solved): Solve the initial value problem y=y+t,y(0)=0 using successive approximation method (i.e., de ...



Solve the initial value problem \( y^{\prime}=-y+t, y(0)=0 \) using successive approximation method (i.e., determine \( \phi_

Solve the initial value problem using successive approximation method (i.e., determine for each integer , and express in terms of elementary functions, where .


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To solve the given initial value problem using the successive approximation method, we'll follow the steps:
Step 1: Express the differential equation in the form   . Given:   

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