Differential Equation Calculator
Differential Equation Calculator calculates the function for the given first-order differential equation and the value of the function. An equation that contains the derivative of a function is called a differential function.
What is Differential Equation Calculator?
Differential Equation Calculator is an online tool that helps to calculate the function for the given first-order differential equation and the value of the function. This online differential equation calculator helps you to calculate the function in a few seconds. To use this differential equation calculator, enter the derivative function and the value of the function in the given input box.
How to Use Differential Equation Calculator?
Please follow the steps below to find the function using an online differential equation calculator:
- Step 1: Go to Cuemath’s online differential equation calculator.
- Step 2: Enter the differential function(y') and the value of the function y(0) in the given input box of the differential equation calculator.
- Step 3: Click on the "Solve" button to calculate the function for the given first-order differential equation and the value of the function.
- Step 4: Click on the "Reset" button to clear the fields and enter the new function and values.
How Differential Equation Calculator works?
A differential equation is defined as an equation that involves the derivative (derivatives) of the dependent variable with respect to the independent variable (variables).
The general form of first-order differential equation is given by y' + p(x)y = Q(x) where P and Q are functions of x alone.
Let us understand this with the help of the following example.
Solved Example on Differential Equation
Find the function for the first-order differential equation y' = x2 and y(0) = 2 and verify it using the differential equation calculator?
Given: y' = x2 and y(0) = 2
Integrate the given first order differential equation y(x) = x3 / 3 + c
y(0) = 2 ⇒ (0)3 / 3 + c = 2
⇒ c = 2
y(x) = x3 / 3 + 2
Now, try the differential equation calculator and find the value of function for:
- y' = 3x2 and y(0) = 5
- y' = x3 and y(0) = 7