ONE
    Númas
    ← Back to the programme
    IBHardCalculus10–12

    Differential Equations

    Equações Diferenciais

    Solve the differential equation dydx=2y\frac{dy}{dx} = 2y given that y(0)=3y(0) = 3.

    Separate variables: dyy=2 dx\frac{dy}{y} = 2 \, dx. Integrate both sides.

    Solution

    Step 1 of 5

    1. 1.∫dyy=∫2 dx\int \frac{dy}{y} = \int 2 \, dx