Consider the differential equation 4xu 2u u 0 Given that cos x solves the Given that cos x solves the boundary value problem u(1 4) 2 0, u( 2 ) 1, and sin x solves the boundary value problem u(1 4 2 ) 1, u( 2 ) 0, write down the solution to the boundary value problem u (1 4 2 ) 3, u( 2 ) 7

Question: Consider the differential equation 4xu + 2u + u = 0. Given that cos x solves the Given that cos x solves the boundary value

Consider the differential equation 4xu′′ + 2u′ + u = 0. Given that cos √x solves the Given that cos √x solves the boundary value problem u(1/4) π²= 0, u(π²) = −1, and sin √x solves the boundary value problem u(1/4 π²) = 1, u(π²) = 0, write down the solution to the boundary value problem u (1/4 π²)= −3, u(π²) = 7.

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