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__Question__

**Use Picard's iteration to find the first 4 iterates of solutions of the problem dx/dt = -tx, x(0) = 1.**

If any one can help me solve this, I'll be so grateful. I wait anxiously to get the solution.

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- Thread starter manttiz
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If any one can help me solve this, I'll be so grateful. I wait anxiously to get the solution.

- #2

berkeman

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I'm finding it impossible to write the equations here, though the clue can be gotten at http://www.cse.uiuc.edu/eot/modules/ode/picard/

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- #4

HallsofIvy

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[tex]x(t)= \int_{t_0}^t f(x,t)dt+ x_0[/tex]

starting with x(t)= x

Here, f(x,t)= -tx and x(0)= x

[tex]\int_0^t -tdt+ 1[/itex]

Surely you can continue from there.

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