Find the general solution of following linear ODE & do detailed Curve Sketching analysis (Domain, Intercepts, Symmetry, Asymptotes, Intervals of Increase or Decrease, Local maximum and minimum, Concavity and points of Inflection, Sketch the function/ Plot the graph) of it (General solution).Choose value of constant of integration on your own. a. y' + ky = e2kx %3D

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A: Second derivative test is not applicable then we apply first derivative test.

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Q: 2x 2 t 7 dt

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: