Find a second order homogeneous linear differential equation whose general equation is Atanx + Bsinx (A,...

Question

Question

Find a second order homogeneous linear differential equation whose general equation is Atanx + Bsinx (A, B constant)

[Hint use the fact that tanx and sinx are, individually, solutions and solve for the coefficients in standard form}

math Advanced-Math

Answer 1

Answer #1

y= A tanx + B sinn > y cotx = A + B coste Differentiating with respect to x (cotx) dy - (cose (²x) y -B sina we get da cose y

Answer 2

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