Respuesta :

Answer:

y=-2· e^(0.01)/ x²

Step-by-step explanation:

We calculate the given differential equation, we get

dy/dx = e^(−0.01) xy²

dy/y² = e^(−0.01) x dx

∫ y^(-2) dy= e^(−0.01) ∫ x dx

- y^(-1) = e^(−0.01) x²/2

-1/y=  e^(−0.01) x²/2

y=-2/ e^(−0.01) x²

y=-2· e^(0.01)/ x²

We use the site desmos.com, to plot graph for the solution of the the given differential equation. We get a graph.

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