Consider . Find its solution x(t) satisfying the initial condition x(0)=0. How should I attack this problem?
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Originally Posted by garymarkhov Consider . Find its solution x(t) satisfying the initial condition x(0)=0. How should I attack this problem? Remember that This gives a first order seperable ODE. Integrating both sides we get solving for x gives From here just plug in your intial condition to find A. Good luck.
Originally Posted by TheEmptySet Remember that This gives a first order seperable ODE. Integrating both sides we get solving for x gives From here just plug in your intial condition to find A. Good luck. Cool, so A = 1 and right?
Originally Posted by garymarkhov Cool, so A = 1 and right? You are correct that but then If you try your solution as is needed by you intial condition
Originally Posted by TheEmptySet You are correct that but then If you try your solution as is needed by you intial condition Good thinking. Can you comment on how the in turns into the function x(t)? It's making me uneasy.
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