Write a differential equation describing

For the harmonic potential V(x,y) = x^2 + y^2a)Find the total differential, dV. b) Show that dV is exact c) Given that -dV =
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Write a differential equation describing a second order reaction – a reaction inwhich the rate of depletion of the
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The slope of a curve is equal to y divided by 4 more than x2 at any point (x, y) on the curve.A. Find a differential equation
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The maximum number of arbitrary constants is equal toa. Number of derivatives in the differential equation b. Degree of
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dy/dx = 4ye^(5x)a) Separate the differential equation, then integrate both sides. b) Write the general solution as a function
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Consider the differential equation:(du/dt)=-u^2(t^3-t) a) Find the general solution to the above differential equation. (Write
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Find the particular solution of the differential equation that satisfies the initial condition. Write it out as an equationDiffe
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Solve the differential equation dy/dx = -xe^y and determine the equation of the curve through P(1,2)I tried solving the
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consider the differential equationd^3x/dt^3 - 9(d^2x/dt^2)+ 27(dx/dt) -27x = c0s t +sin t + te^(3t) a) show that characteristic
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.In which of the following instances would you be most likely to write a cause-and-effect essay? describing what happens during
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