Post Closed as "off-topic" by Michael E2, m_goldberg, Henrik Schumacher, José Antonio Díaz Navas, bbgodfrey
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I have to solve the equation in range from 0 to 7pi: x''[t]-(1/2)(1-x[t]^2)x'[t]+x[t]=0

x''[t]-(1/2)(1-x[t]^2)x'[t]+x[t]=0


with boundary conditions x(0)=1.5, x'[0]=0. This

x(0)=1.5, x'[0]=0.


This is what I can do, but then I have a problem. How

How to draw it with EvaluateEvaluate in phase space? I also have to substitute the solution to the left side of differential equation and draw this formula in range of 0 < t < 7pi, on the y axis from -2 to 2. I have to use ParametricPlot and Evaluate, but don't know how. I mean, I tried to do so but it didn't work :/

I have to solve the equation in range from 0 to 7pi: x''[t]-(1/2)(1-x[t]^2)x'[t]+x[t]=0 with boundary conditions x(0)=1.5, x'[0]=0. This is what I can do, but then I have a problem. How to draw it with Evaluate in phase space? I also have to substitute the solution to the left side of differential equation and draw this formula in range of 0 < t < 7pi, on the y axis from -2 to 2. I have to use ParametricPlot and Evaluate, but don't know how. I mean, I tried to do so but it didn't work :/

I have to solve the equation in range from 0 to 7pi:

x''[t]-(1/2)(1-x[t]^2)x'[t]+x[t]=0


with boundary conditions

x(0)=1.5, x'[0]=0.


This is what I can do, but then I have a problem.

How to draw it with Evaluate in phase space? I also have to substitute the solution to the left side of differential equation and draw this formula in range of 0 < t < 7pi, on the y axis from -2 to 2. I have to use ParametricPlot and Evaluate, but don't know how. I mean, I tried to do so but it didn't work :/

1

# differential equation - evaluate and parametric plot

I have to solve the equation in range from 0 to 7pi: x''[t]-(1/2)(1-x[t]^2)x'[t]+x[t]=0 with boundary conditions x(0)=1.5, x'[0]=0. This is what I can do, but then I have a problem. How to draw it with Evaluate in phase space? I also have to substitute the solution to the left side of differential equation and draw this formula in range of 0 < t < 7pi, on the y axis from -2 to 2. I have to use ParametricPlot and Evaluate, but don't know how. I mean, I tried to do so but it didn't work :/