# Function Desolve - HP 49g+ User Manual

Graphing calculator.

Allow the calculator about ten seconds to produce the result: 'X^2 = X^2'.
Example 3 - Solving a system of linear differential equations with constant
coefficients.
Consider the system of linear differential equations:
In algebraic form, this is written as: A⋅x'(t) = 0, where
system can be solved by using function LDEC with arguments [0,0] and matrix
A, as shown in the following screen using ALG mode:
The solution is given as a vector containing the functions [x
˜ will trigger the Matrix Writer allowing the user to see the two
components of the vector. To see all the details of each component, press the
@EDIT! soft menu key. Verify that the components are:

## Function DESOLVE

The calculator provides function DESOLVE (Differential Equation SOLVEr) to
solve certain types of differential equations. The function requires as input the
differential equation and the unknown function, and returns the solution to the
equation if available.
differential equation and the initial conditions, instead of only a differential
equation, as input to DESOLVE.
Examples of DESOLVE applications are shown below
using RPN mode.
Example 1 – Solve the first-order ODE:
x
'(t) + 2x
'(t) = 0,
1
2
2x
'(t) + x
'(t) = 0.
1
2
You can also provide a vector containing the
The function DESOLVE is available in the
1
2
A
. The
2
1
(t), x
(t)]. Pressing
1
2
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