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Exercise

$\frac{di}{dt}+\frac{1}{rc}i\:=\:0$

Step-by-step Solution

Learn how to solve separable differential equations problems step by step online. Solve the differential equation di/dt+1/(rc)i=0. Multiplying the fraction by i. We need to isolate the dependent variable i, we can do that by simultaneously subtracting \frac{i}{rc} from both sides of the equation. Multiplying the fraction by -1. Group the terms of the differential equation. Move the terms of the i variable to the left side, and the terms of the t variable to the right side of the equality.
Solve the differential equation di/dt+1/(rc)i=0

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Final answer to the exercise

$i=-t+C_0$

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  • Exact Differential Equation
  • Linear Differential Equation
  • Separable Differential Equations
  • Homogeneous Differential Equation
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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  • Integrate by parts
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Main Topic: Separable Differential Equations

A separable differential equation is one that can be solved by separating variables, that is, when all expressions involving a variable can be placed on one side of the equation, and expressions involving the other variable on the other side of the equation.

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