Mathematics Homework Solutions

2nd order ODE

find y as function of t if 49y'' - 14y' +y =0 y(0)=3 y'(0)=9 simplify to sine and consines

second order diff. eq

find y as a function of t if 250y''-10y'+4y=0 y(0)=9 y'(0)=5

2nd order ODE

y'' + 10y' + 106y = 0 y(0)=2 y'(0) = 6 find y as a function of t

2nd order ODE

64y'' + 64y' +18y = 0 y(0)=4 y'(0)=4 find y as a function of t

second order diff. equation

find y as a function of t if 4y'' +30y = 0 y(0)=5 y'(0)=7

second order ODE

find y as function of t if 64y'' + 64y' +18y = 0 y(0)=4 y'(0)=4 in terms of sine and cosine

Differential Equations

Find y as a function of x if: (x^2)(y'') + 15xy'+49y = 0 y(1) = -4 y'(1) = -3

Second order ODE

Find y as a function of x if: (x^2)(y'') - 5xy' -16y = 0 y(1)=2 y'(1)= 9

Second order ODE

Find y as a function of t if 16y'' - 88y' +121y = 0 y(0) = 4 y'(0) = 9

Second order ODE

find y as a function of t if 64y'' + 32y' +4y = 0 y(5)=6 y'(5) = 5

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