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.