The general solution of the homogeneous differential equation 3x2y′′+7xy′+y=03x2y″+7xy′+y=0 can be written as yc=ax−1+bx−13yc=ax−1+bx−13 where aa, bb are arbitrary constants and yp=1+3xyp=1+3x is a particular solution of the nonhomogeneous equation 3x2y′′+7xy′+y=24x+13x2y″+7xy′+y=24x +1 By superposition, the general solution of the equation 3x2y′′+7xy′+y=24x+13x2y″+7xy′+y=24x +1 is y=yc+ypy=yc+yp so y=y= NOTE: you must use aa, bb for the arbitrary constants. Find the solution satisfying the initial conditions y(1)=8, y′(1)=8y(1)=8, y′(1)=8 y=y= The fundamental theorem for linear IVPs shows that this solution is the unique solution to the IVP on the interval The Wronskian WW of the fundamental set of solutions y1=x−1y1=x−1 and y2=x−1/3y2=x−1/3 for the homogeneous equation is

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.

you need to add a picture

angle efh= angle egh

step-by-step explanation:

d would equal 12