(a) Solve the following Partial Differential Equation: If f(t) = sin²t, find L(f)
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A: As per the guidelines I have solved three sub parts.
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A: repost the remaining parts separately
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- Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be described by the differential equation dPdR=4DRP2 where D is the density of the plants in an area. Source: Ecology. Given the initial condition P(0)=1, find a formula for P in term of R.Use Eulers method to approximate the indicated function value to 3 decimal places, using h=0.1. Next, solve the differential equation and find the indicated function value to 3 decimal places. Compare the result with the approximation. dydx=2xy;y(1)=1; find y(1.6)