Differential Equations Find the solution to the IVP d^2y/dt^2−5dy/dt+6y=−1e^2t where y(0)=−7,dy/dt(0)=−16. y(t)=

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The charactersitic equation of a 2nd​ order, constant coefficient differential equation is​ p(x)=x^2, and​ y_p=sin(x) is a particular solution. Which is the general​ solution?     A. ​y=a+bx+sin(x), where a and b are constants   B. ​y=ax+bx^2+sin(x), where a and b are constants   C. ​y=asin(bx)+c, where​ a, b, and c are constants   D. ​y=a+bx+csin(x), where​ a, b, and c are constants

The charactersitic equation of a 2nd order, constant coefficient differential equation is p(x)=x^2, and y_p=sin(x) is a particular solution. Which is the general solution? O A. y=a+bx+sin(x), where a and b are constants O B. y=asin(bx)+c, where a, b, and c are constants O C. y=a+bx+csin(x), where a, b, and c are constants O D. y=ax+bx^2+sin(x), where a and b are constants