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

Q: Consider a differential equation y' = xy + xe¯´.

A: We have y'=xy+xe−x2

Q: solve the differential equation using integrating factor. ((y(e^xy))+sin(x)) + (dy/dx)(e^xy)x = 0

A:

Q: Solve the differential equation by variation of parameters. y" + y = sin?(x)

A:

Q: Determine all solutions of differential equation y' + ysin x = SIN 2x

A:

Q: Evaluate the given differential equation (1+ cosx)y' = sinx(sinx + sinxcosx - y) a.y = x - sinx + C…

A:

Q: If a 4th order linear differential equation is such that the corresponding characteristic equation…

A: If a 4th-order linear differential equation is such that the corresponding characteristic equation…

Q: ear differential equation y' - (sinx)y = 2sinx is:

A:

Q: his is a practice question from my Differential Equations course: Show directly that the given…

A: Given functionA set of functions are linearly independent if Wronskian is non zero.and dependent if…

Q: Use substitution to find a general solution of the differential equation  a)  x^3*y'+x^2*y=y^2…

A: We need to convert Bernoulli equation into linear differential equation form by using substitution

Q: a) x'= 3-4 b) x² = (²-2) x x'= 3

A: Since you have posted multiple questions,  as per our guidelines we are supposed to be answered only…