Show that the inhomogeneous equation y" + y = sec x, has the homogeneous solutions y₁ = cos x and y2 = sin x. (Plug them into the homogeneous equation and show they check.) Find the Wronskian for this pair of solutions, determine functions u(x) and v(x) to apply the variation of parameters method, and the general solution.No conditions are given.Normally what constants you use are arbitrary, but for grading purposes use A as the coefficient for cosine and B as the coefficient for sine in your general solution.The Wronskian W(cos x, sin x) =u(x)= log(sec (x))v(x)=XThe general solution isy (x)= -cos (x(log(sec (x)))) +xsin(x) + A-cos(x) +B-sin(x)X

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show that the inhomogeneous equation y"+y=secx, has the homogeneous solutions y cos x and y2 sinx. (Plug them into the homogeneous equation and show they check.) Find the Wronskian for o conditions are given. formally what constants you use are arbitrary, but for grading purposes use A as the coefficient for cosine and B as the coefficient for sine in your general solution. The Wronskian Wicos x, sin x) 1 =(x)-log(sec(x)) x The general solution is (x)= −cos(x(log(sec(x))))+xsin(x) +4-cos(x) + B-sin(x)

show that the inhomogeneous equation y"+y=secx, has the homogeneous solutions y cos x and y2 sinx. (Plug them into the homogeneous equation and show they check.) Find the Wronskian for o conditions are given. formally what constants you use are arbitrary, but for grading purposes use A as the coefficient for cosine and B as the coefficient for sine in your general solution. The Wronskian Wicos x, sin x) 1 =(x)-log(sec(x)) x The general solution is (x)= −cos(x(log(sec(x))))+xsin(x) +4-cos(x) + B-sin(x)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 44E

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