Force F acting on a particle of mass m has the following dependencies: (a) F(x, t)...

  

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Force F acting on a particle of mass m has the following dependencies: (a) F(x, t) fx)g(t) (b) F(x, 1) fli)g() (c) F(x, x) = fi)g(x) Write the differential equations describing these situations. Which of these differential equations can be solved to describe the motion of the particle? Explain. Force F acting on a particle of mass m has the following dependencies: (a) F(x, t) fx)g(t) (b) F(x, 1) fli)g() (c) F(x, x) = fi)g(x) Write the differential equations describing these situations. Which of these differential equations can be solved to describe the motion of the particle? Explain.