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Solve the following differential equation y' = 2xy, y(0)=2 4) Exactly (analytically) 5) Using the Runge-Kutta method 6) Plot both solutions in a single

Solve the following differential equation y' = 2xy, y(0)=2 4) Exactly (analytically) 5) Using the Runge-Kutta method 6) Plot both solutions in a single graph (using gnuplot, Excel, or any software of choice). Use h 0.15 and x between 0 and 1.5.

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