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2_1-Clickers-ODEs

# 2_1-Clickers-ODEs - Classify this ODE y = sin(x y 1st order...

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1 Classify this ODE : y’’ = sin(x) y A) 1st order, nonlinear B) 1st order, linear C) 2nd order, nonlinear D) 2nd order, linear E) None of these

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2 Classify this ODE : y’’ + x2y + 1 =0 A) Linear (not Homogeneous) B) Homogeneous (not Linear) C) Linear and Homogeneous D) Nonlinear and Inhomogeneous
3 Classify this ODE : y’’(t) + ty(t) + 1 =0 A) Linear (not Homogeneous) B) Homogeneous (not Linear) C) Linear and Homogeneous D) Nonlinear and Inhomogeneous

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4 Classify this ODE : y’’(t) = (t+1)y(t) A) Linear (not Homogeneous) B) Homogeneous (not Linear) C) Linear and Homogeneous D) Nonlinear and Inhomogeneous
5 Classify this ODE : y’ = sin(y) +1 A) Linear (not Homogeneous) B) Homogeneous (not Linear) C) Linear and Homogeneous D) Nonlinear and Inhomogeneous

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6 Is this ODE homogeneous? y’’ = (x+1)y A) Yes B) No C) ???
7 Consider the ODE: dN/dt – kN = 0 with k>0 and N(t=0)=N0>0. How does N(t) behave as t ∞ ? A) N(t) decays to zero B) N(t) approaches a constant value C) N(t) stays constant the whole time D) N(t) diverges (approaches ∞) E) Not enough info given!

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8 Which of these ODEs are separable?
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