Solve the differential equation

Evaluate

$$dv=edl$$

$$\text{Integrate the left-hand side of the equation with respect to }v\text{ and the right-hand side of the equation with respect to }l$$

$$\int 1dv=\int edl$$

Calculate

More Steps

Evaluate

$$\int 1dv$$

$$\text{Use the property of integral }\int kdx=kx$$

$$v$$

$$\text{Add the constant of integral }{C}_1$$

$$v+C_1,C_1\in \mathbb{R}$$

$$v+C_1=\int edl,C_1\in \mathbb{R}$$

Calculate

More Steps

Evaluate

$$\int edl$$

$$\text{Use the property of integral }\int kdx=kx$$

$$el$$

$$\text{Add the constant of integral }{C}_2$$

$$el+C_2,C_2\in \mathbb{R}$$

$$v+C_1=el+C_2,C_1\in \mathbb{R},C_2\in \mathbb{R}$$

Solution

$$v=el+C,C\in \mathbb{R}$$

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