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Find the solution of the following Differential Equations 1) y' = ky 2) y' = -xy 3) y'- 2y+a = 0 4) xy' + by = 0

Find the solution of the following Differential Equations 1) y' = ky 2) y' = -xy 3) y'- 2y+a = 0 4) xy' + by = 0

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Find the solution of the following Differential Equations 1) y' = ky 2) y' = -xy 3) у' - 2у +а%30 4) xy' + by = 0 5) (xIn x)y' = y 6) (x+2)y' – xy = 0 7) y' = 2x/y-1 8) yy' = 2xexp(y²) 9) 2y' = ycot(x) 10) y'+csc(y) =0 11) y' = (1+x)(1+ y²) 12) yy' = 0.5 sin'(@x) 13) y' = y tanh(x) 14) y'sin(2x) = y cos(2.x) 15) y' = y tan(2.x), y(0) = 2 16) (x+1) y' = 2y, y(0) = 1 17) 2xy' = 3y, y(1) = 4 18) y'xIn(x) = y, y(2) = In(4) 19) y' = 2e*y', y(0) = 0.5 20) (x +1) yy' =1, y(0) = -3 21) dr sin(0) = 2r cos(0)d0,r(t/2) = 2 22) vduldx = C, v(x,) =Vo
Transcribed Image Text:Find the solution of the following Differential Equations 1) y' = ky 2) y' = -xy 3) у' - 2у +а%30 4) xy' + by = 0 5) (xIn x)y' = y 6) (x+2)y' – xy = 0 7) y' = 2x/y-1 8) yy' = 2xexp(y²) 9) 2y' = ycot(x) 10) y'+csc(y) =0 11) y' = (1+x)(1+ y²) 12) yy' = 0.5 sin'(@x) 13) y' = y tanh(x) 14) y'sin(2x) = y cos(2.x) 15) y' = y tan(2.x), y(0) = 2 16) (x+1) y' = 2y, y(0) = 1 17) 2xy' = 3y, y(1) = 4 18) y'xIn(x) = y, y(2) = In(4) 19) y' = 2e*y', y(0) = 0.5 20) (x +1) yy' =1, y(0) = -3 21) dr sin(0) = 2r cos(0)d0,r(t/2) = 2 22) vduldx = C, v(x,) =Vo
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