Solve CpartialV/partialt+V/R_{2}=0

$$C \frac { \partial V } { \partial t } + \frac { V } { R _ { 2 } } = 0$$

Solve for C

$$C\in \mathrm{R}$$

$$V=0\text{ and }R_{2}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by R_{2}.

$$C\frac{\mathrm{d}}{\mathrm{d}t}(V)R_{2}+V=0$$

Subtract V from both sides. Anything subtracted from zero gives its negation.

$$C\frac{\mathrm{d}}{\mathrm{d}t}(V)R_{2}=-V$$

The equation is in standard form.

$$0=-V$$

This is false for any C.

$$C\in$$

Solve for R_2

$$R_{2}\neq 0$$

$$V=0$$

Steps for Solving Linear Equation

Variable R_{2} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by R_{2}.

$$C\frac{\mathrm{d}}{\mathrm{d}t}(V)R_{2}+V=0$$

Subtract V from both sides. Anything subtracted from zero gives its negation.

$$C\frac{\mathrm{d}}{\mathrm{d}t}(V)R_{2}=-V$$

The equation is in standard form.

$$0=-V$$

This is false for any R_{2}.

$$R_{2}\in$$