Write a Maple program to solve analytically the ordinary differential equation dy dt = y 2 + 1 with initial condition y(0) = 0. What solution is found? Verify (on paper) that the solution found satisfies the differential equation and initial condition.
Here are the initializations that we need to make before we start solving ODEs in MAPLE
with (DEtools):
with (LinearAlgebra):
with (Plots):
First of all we need to enter the ode into MAPLE. Here is the code for entering the ODE
ode := diff(y(t),t) = y^2 + 1;
Now we enter what the unknown function is. In this case it is y(t).
fn := y(t);
Now, to input the initial condition
ic := y(0)=0;
To solve the ODE we use the dsolve function
sol := dsolve({ode,ic}, fn);
Then sol is the solution for the ODE. You can now print the value of sol and find the solution.
Write a Maple program to solve analytically the ordinary differential equation dy dt = y 2...
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