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Differential Equations2D

Applications of First-Order DEs - Theory & Concepts - Applications Of First Order Des

Practical applications including population growth, decay, Newton's Law of Cooling, mixing problems, electrical circuits, and falling bodies.

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Mixing Tank Model

\frac{dA}{dt} = R_{in} C_{in} - R_{out} \frac{A}{V(t)}

Inflow Rate (

R_{in}

)3 L/min

Inflow Concentration (

C_{in}

)2 kg/L

Outflow Rate (

R_{out}

)3 L/min

Salt Amount10.0 kg

Tank Volume100.0 L

A(t) vs t

First-Order DEs (Separable & Homogeneous) - Theory & Concepts - First Order Separable And Homogeneous Exact & Linear Differential Equations - Theory & Concepts - Exact And Linear Equations Higher-Order Homogeneous DEs - Theory & Concepts - Higher Order Homogeneous Equations Higher-Order Non-Homogeneous DEs - Theory & Concepts - Higher Order Non Homogeneous Equations