Solving Initial Value Problems with Mathematica's Solver

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Your interaction should have gone like this:

DSolve[{y''[x]-3y'[x]-10y[x]==0,y[0]==0,y'[0]==1},y[x],x]

DE Solutions

So it managed to solve a homogeneous second order linear initial value problem with constant coefficients. We'll now "increase the stakes" a little...

 
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