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State-space representation of a nonlinear MIMO system

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#ordinary-differential-equations #control-theory #nonlinear-system
105
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Solving a certain system of differential equations

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#ordinary-differential-equations
2.8k
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Solving $y''+2y'+2y=e^{-x}\sin(x)$ using variation of parameters.

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#calculus #ordinary-differential-equations #homogeneous-equation
48
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How can I show that the following ODE has global semi-solutions (i.e, defined for all t > 0):

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#ordinary-differential-equations
112
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A special change of coordiantes of a Vector Field

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#ordinary-differential-equations #analysis #manifolds #differential-topology #dynamical-systems
301
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Showing that a centre of the 2D linear system $\dot{\mathbf{x}} = A \mathbf x$ is Lyapunov stable

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#linear-algebra #ordinary-differential-equations #stability-theory
1.3k
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Global Truncation Error w/ Taylor Series Method

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#ordinary-differential-equations #numerical-methods
4.5k
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Difference between ordinary and partial differential equations

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#ordinary-differential-equations #derivatives #partial-derivative
217
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Find the constants for IVP

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#ordinary-differential-equations
73
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Exact solution for nonlinear autonomous system

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#ordinary-differential-equations #nonlinear-system
154
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finding the Lipschitz condition for two IVP's?

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#real-analysis #ordinary-differential-equations #lipschitz-functions
81
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Differential equation defined only on $(-1,1)$

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#ordinary-differential-equations
132
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Solve second order differential equation with cosh using frobenios method

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#ordinary-differential-equations #power-series #hyperbolic-functions #frobenius-method
591
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How to find the first derivative of this?

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#calculus #ordinary-differential-equations #derivatives
200
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Does this PDE have a solution?

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#ordinary-differential-equations #analysis #partial-differential-equations #dynamical-systems

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