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20) Transform the equation (2x+3)2 . d 2 y dx 2 - 2(2x+3) dy dx - 12y =6x into a linear differential Equation with constant co-efficients. 21) Find the Wronskian of y1, y2 of y11 -2y 1 +y =ex logx. Part-B. Find the particular integral of (D2+4)y = x2 cos2x. Solve (D2+3D+2)y = sin3x cos2x. Solve (D2+5D+6)y = e –7x sinh3x. Solve (D3 - 3D2 + 4D ...
cos2x sin2x 2 1 sin4x

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+ sin4x= sin2x.cos2x + Đặt sin2x thừa chung +sin2x/2=1-cos2x/2 + Pt bầc hai đối với một hàm số cos + Đặt ẩn phụ rồi giải +Nêu cách giải bài toán? + PT đã cho có dạng nào đã học? +Nêu cách giải bài toán?
cos2x sin2x 0 75

[DOC File]H
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Evaluate the integral as the limit of a sum (x2 + 1) dx. Sin 2x dx. Sin4x + Cos4x. dx 3x + 4x – 2x2. Find the local maximum & local minimum value of function x3 – 12x2 + 36x – 4 . Examine the continuity of the given function. F(x) = x2 . Sin 1/x if x = 0. 0 if x = 0. Differentiate Cos2x w.r.t. x using first principle
cos 2x dx

[DOC File]BAB 7 METODE INTEGRASI
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2. 4(8 x dx ( u = x2-15 maka 4(8 x . du = ½ 4(8 u-1/2du (x2-15 du/dx = 2x u1/2 2x = ½ u1/2. dx = du/2x ½ = (x2-15 (84 = ((64-15)-((16-15) = 7-1 = 6. 3. 1(8 ( 1+3x dx = 1(8 ( 1 + 3x)1/2 dx ( u = 1+3x = 1(8 u1/2 . du/3 du/dx …
integral of sin 4 x

[DOC File]ASSIGNMENT 17 : INTEGRATION BY SUBSTITUTION
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= u4 + c = sin4x + c. 4 4. 6. (tan x sec2x dx u = tan x. du = sec2x dx = (u du = u2 + c = tan2x + c. 2 2. 7. ( u = sin x. du = cos x dx = (du = (u-4 du. u4 = u-3 + c = sin -3 x + c –3 –3 8. ... cos x e sin x dx . u = sin x or u = esin x. du = cos xdx du = cos x esin xdx ...
cos 4 x

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d dx ( cosec - 1 x a ) = - a x x 2 - a 2 . If y = uv, where u and v are real valued functions of x, then dy dx = u dv dx + v du dx (Product Rule) If y = u v where u and v are the real valued functions of x, then dy dx = v du dx - u dv dx v 2 (Quotient Rule) If y = f u ...
sin2x sin2x sin4x cosx

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d) sin2 x– (1+)sinxcosx +cos2x = (. e) sinx + sin2x + sin3x = 0. g) sin2x.sin5x = sin3x.sin4x. h) sin2x + sin23x = 2sin22x. II. Tổ hợp. Khái niệm xác suất 1. Đại số tổ hợp. Quy tắc cộng và quy tắc nhân. Chỉnh hợp. Hoán vị. Tổ hợp.
sin4x cos3x dx

Part 1
1.The current I in the given network. a) 1A b) 3A c) 5A d) 7A 2.For the Delta- Wye transformation in given figure, the value of the resistance R is.
sin4x cos3x integral

[DOC File]CBSE CLASS XII MATHS
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Integral Calculus. Two mark questions with answers. Q1. dx Ans1. dx = dx = dx = dx = (sec2x + secx tanx) dx = tanx + secx + c Q2. Ans2. = dx = dx = dx = c = c Q3. 3 cotx - 2 tanx)2 dx Ans3. (3 cotx - 2 tanx)2 dx = (9 cot2x + 4 tan2x - 12) dx = [9(cosec2x - 1) + 4(sec2 x - 1) - 12] dx = (4 sec2x + 9 cosec2x - 25) dx = 4 tanx - 9 cotx - 25x + c Q4. dx Ans4. dx = dx = dx = = + c Q5. (1 - sinx) dx ...
cos2x sin2x 2 1 sin4x

Sin4x cos2x dx