Further Engineering Mathematics: Programmes and ProblemsThe purpose of this book is essentially to provide a sound second year course in mathematics appropriate to studies leading to BSc Engineering degrees. It is a companion volume to "Engineering Mathematics" which is for the first year. An ELBS edition is available. |
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Results 1-3 of 77
Page 68
... becomes 50 ya −7y2 + 12 = 0 for , substituting x = y- i.e. xy - 1 , the original equation becomes ( y - 1 ) +4 ( y - 1 ) 3 − ( y − 1 ) 2 – 10 ( y - 1 ) +6 = 0 - ( ya −4y3 + 6y2 − 4y +1 ) +4 ( y3 − 3y2 + 3y − 1 ) − ( y2 − 2y +1 ) ...
... becomes 50 ya −7y2 + 12 = 0 for , substituting x = y- i.e. xy - 1 , the original equation becomes ( y - 1 ) +4 ( y - 1 ) 3 − ( y − 1 ) 2 – 10 ( y - 1 ) +6 = 0 - ( ya −4y3 + 6y2 − 4y +1 ) +4 ( y3 − 3y2 + 3y − 1 ) − ( y2 − 2y +1 ) ...
Page 443
... becomes d ( uv ) = udv + vdu dx dx dx du dv ע d น dx So , if and if y = t2 ע = dx -- v2 y = e2x sin 4x , cos 2t u dx becomes d 이 ( 쁨 ) = vdu - udv v2 dy = dy = = y = e2x sin 4x , dy = 2e2 * Programme 9 : Multiple Integrals 443.
... becomes d ( uv ) = udv + vdu dx dx dx du dv ע d น dx So , if and if y = t2 ע = dx -- v2 y = e2x sin 4x , cos 2t u dx becomes d 이 ( 쁨 ) = vdu - udv v2 dy = dy = = y = e2x sin 4x , dy = 2e2 * Programme 9 : Multiple Integrals 443.
Page 995
... becomes u ( x , t ) = ( A cos px + B sin px ) ( C cos cpt + D sin cpt ) ( 2 ) λ and , if we put cp = λ .. P = this becomes u ( x , t ) = ( λ λ A cos - x + B sin - x C с ‹ ) ( C co ( C cos λt + D sin λt ) ( 3 ) where A , B , C , D are ...
... becomes u ( x , t ) = ( A cos px + B sin px ) ( C cos cpt + D sin cpt ) ( 2 ) λ and , if we put cp = λ .. P = this becomes u ( x , t ) = ( λ λ A cos - x + B sin - x C с ‹ ) ( C co ( C cos λt + D sin λt ) ( 3 ) where A , B , C , D are ...
Contents
Theory of Equations Part 2 | 43 |
Partial Differentiation | 91 |
Integral Functions | 145 |
Copyright | |
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a₁ b₁ b₂ c₁ c₂ coefficients cosh cosine curl F curve curvilinear coordinates defined Determine dx dy dx² dy dx Evaluate exact differential Example expression F.dr Fourier series frame function f(x function values gives grad graph Green's theorem harmonic inverse transforms k₁ k₂ Laplace transform line integral matrix method nx dx obtain odd function parametric equations partial fractions Pdx Qdy periodic function plane polar coordinates programme region Revision Summary roots scalar sin nx sin² sinh solution Solve the equation stationary values substitute surface Test Exercise theorem U₁ variables vector field w-plane x₁ xy-plane Y₁ zero δε δυ бу дг дг ди ди др ду ди ду ду дф дф дх ду дг მა