Integral Calculus for Beginners With An Introduction to the Study of Differenti
Integral Calculus for Beginners With An Introduction to the Study of Differenti
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In our eReader you can find the full English version of the book. Read Integral Calculus for Beginners With An Introduction to the Study of Differenti Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Integral Calculus for Beginners With An Introduction to the Study of Differenti
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To quickly assess the difficulty of the text, read a short excerpt:
ax But when this is impossible or inconvenient we solve for the remaining letter and differentiate with regard to the absent one\ thus considering the absent letter in either case as the independent variable.
Ex. 1. Integrate the equation ' Here dy and #= 2 is the solution. Ex. 2. Solve Then x = dx \dx) where q=.
dy 230 DIFFERENTIAL EQUATIONS.
Then differentiating with regard to the absent letter y, /, 1 \dq * l ~ and # and the ^-eliminant between this equation and the original equation x=q+~ i...s the solution required.
EXAMPLES.
Solve the equations : 1. D y = y + I. 5.
6. -B \dx) dx 4. (2a^ + ^ 2 )=a 2 +2a^7. 8. =A+.
dx \dx) dx 184. CASE V. Clairaut's Form, ^= Writing ^9 for -~- we have y=px+f(p) ........................ (1) Differentiating with regard to x, dp or {x+f(p)}0, .................... (2) whence either -^-=0 or cc+/ / (p) = 0.
CLOu Now -f = gives p = C a, constant.
CLAIRA UTS FORM. 231 Thus y = Cx-\-f(C) is a solution of the given differ- ential equation containing an arbitrary constant C.
What to read after Integral Calculus for Beginners With An Introduction to the Study of Differenti?
You can find similar books in the "Read Also" column, or choose other free books by Joseph F Edwards to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
ax But when this is impossible or inconvenient we solve for the remaining letter and differentiate with regard to the absent one\ thus considering the absent letter in either case as the independent variable.
Ex. 1. Integrate the equation ' Here dy and #= 2 is the solution. Ex. 2. Solve Then x = dx \dx) where q=.
dy 230 DIFFERENTIAL EQUATIONS.
Then differentiating with regard to the absent letter y, /, 1 \dq * l ~ and # and the ^-eliminant between this equation and the original equation x=q+~ i...s the solution required.
EXAMPLES.
Solve the equations : 1. D y = y + I. 5.
6. -B \dx) dx 4. (2a^ + ^ 2 )=a 2 +2a^7. 8. =A+.
dx \dx) dx 184. CASE V. Clairaut's Form, ^= Writing ^9 for -~- we have y=px+f(p) ........................ (1) Differentiating with regard to x, dp or {x+f(p)}0, .................... (2) whence either -^-=0 or cc+/ / (p) = 0.
CLOu Now -f = gives p = C a, constant.
CLAIRA UTS FORM. 231 Thus y = Cx-\-f(C) is a solution of the given differ- ential equation containing an arbitrary constant C.
What to read after Integral Calculus for Beginners With An Introduction to the Study of Differenti?
You can find similar books in the "Read Also" column, or choose other free books by Joseph F Edwards to read onlineMoreLess
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