Consider the differential equation dy/dx = 3(2x + 1)sin(x²+x+π/2). (A) Find the equation of the line tangent to the solution

Question

Consider the differential equation dy/dx = 3(2x + 1)sin(x²+x+π/2). (A) Find the equation of the line tangent to the solution curve at the point (0, 3).
(B) Find the second derivative at (0, 3) and use it to determine the concavity of the solution curve at point. Explain.
Find the particular solution y = f(x) with initial condition f(0) = 3.

Kunduz · Accepted Answer

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