Solve 0.1= 1 / v ∫ 1 / 4pi}dOmega

$$0.1= \frac{ 1 }{ v } \int{ \frac{ 1 }{ 4 \pi } }d \Omega$$

Solve for v

$$v=\frac{5\Omega }{2\pi }+С$$

$$\Omega \neq -\frac{2С}{5}\text{ and }\Omega \neq -4\pi С_{1}\text{ and }\Omega \neq 4С_{2}$$

Steps for Solving Linear Equation

Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by v.

$$0.1v=1\int \frac{1}{4\pi }\mathrm{d}\Omega$$

Reorder the terms.

$$0.1v=\int \frac{1}{4\pi }\mathrm{d}\Omega$$

The equation is in standard form.

$$0.1v=\frac{\Omega }{4\pi }+С$$

Multiply both sides by 10.

$$\frac{0.1v}{0.1}=\frac{\frac{\Omega }{4\pi }+С}{0.1}$$

Dividing by 0.1 undoes the multiplication by 0.1.

$$v=\frac{\frac{\Omega }{4\pi }+С}{0.1}$$

Divide С+\frac{\Omega }{4\pi } by 0.1 by multiplying С+\frac{\Omega }{4\pi } by the reciprocal of 0.1.

$$v=\frac{5\Omega }{2\pi }+С$$

Variable v cannot be equal to 0.

$$v=\frac{5\Omega }{2\pi }+С\text{, }v\neq 0$$