In: Math
1)
Let y be the solution of the equation
y ′ = 4(x^4)*sin(x^4) satisfying the condition y ( 0 ) = − 1.
Find y ( pi^1/3 ).
2)
Find the largest value of the parameter r
for which the function y = e^(rx) is a solution of the
equation y ″ − 14 y ′ + 28 y = 0.
3)
Let y ′ = − 4x^2*e^(-x^4) and let y ( 0 ) = 1.
Find ln ( y ( 2 ) ).
Could you clarify what you mean by "typing error"?