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AllQuestion and Answers: Page 1147

Question Number 96211 Answers: 3 Comments: 0

solve inside C (x−(1/x))^3 +(x−(1/x))^2 +(x−(1/x))+1 =0

$solve inside C {(x - \frac{1}{x})}^{3} + {(x - \frac{1}{x})}^{2} + (x - \frac{1}{x}) + 1 = 0$

Question Number 96497 Answers: 2 Comments: 0

Question Number 96200 Answers: 2 Comments: 0

solve y^(′′) +y^′ −2y =xcosx with y^((2)) (0)=1 and y^′ (0) =−2

$solve y^{^{″}} + y^{^{'}} - 2 y = xcosx with y^{(2)} (0) = 1 and y^{^{'}} (0) = - 2$

Question Number 96198 Answers: 1 Comments: 0

calculate f(a) =∫_0 ^∞ ((cos(sh(2x)))/(x^2 +a^2 ))dx and g(a) =∫_0 ^∞ ((cos(sh(2x)))/((x^2 +a^2 )^2 )) (a>0)

$calculate f (a) = \int_{0}^{\infty} \frac{\cos (sh (2 x))}{x^{2} + a^{2}} dx and g (a) = \int_{0}^{\infty} \frac{\cos (sh (2 x))}{{(x^{2} + a^{2})}^{2}} (a > 0)$

Question Number 96197 Answers: 1 Comments: 0

calculate ∫_0 ^∞ ((ch(cosx−sinx))/(x^2 +4))dx

$calculate \int_{0}^{\infty} \frac{ch (cosx - sinx)}{x^{2} + 4} dx$

Question Number 96196 Answers: 1 Comments: 0

let g(x) =ln(sinx) developp g at fourier serie

$let g (x) = \ln (sinx) developp g at fourier serie$

Question Number 96195 Answers: 1 Comments: 0

calculate ∫_0 ^∞ (arctan((1/x)))^2 dx

$calculate \int_{0}^{\infty} {(\arctan (\frac{1}{x}))}^{2} dx$

Question Number 96194 Answers: 2 Comments: 0

let f(x) =ln(cosx) developp f at fourier serie

$let f (x) = \ln (cosx) developp f at fourier serie$

Question Number 96193 Answers: 0 Comments: 0

calculate ∫_0 ^(π/2) (ln(cosx))^2 dx

$calculate \int_{0}^{\frac{π}{2}} {(\ln (cosx))}^{2} dx$

Question Number 96192 Answers: 0 Comments: 2

find a particular solution to the equation y′ =(y/x)+sin(y/x) with original condition y(1)=(π/2)

$find a particular solution to the equation$ $y^{'} = \frac{y}{x} + \sin \frac{y}{x} with original condition$ $y (1) = \frac{π}{2}$

Question Number 96189 Answers: 3 Comments: 0

find a common roots from the two quadratic eq 24x^2 +(p+4)x−1=0 and 6x^2 +11x+p+2=0

$find a common roots from$ $the two quadratic eq$ ${24 x}^{2} + (p + 4) x - 1 = 0$ $and {6 x}^{2} + 11 x + p + 2 = 0$

Question Number 96185 Answers: 1 Comments: 0

what are critical points of this function z = xy+5xy^2 +10y

$what are critical points of this$ $function z = xy + {5 xy}^{2} + 10 y$

Question Number 96182 Answers: 1 Comments: 0

x^2 y′′−xy′+y = 0

$x^{2} y^{″} - {x y}^{'} + y = 0$

Question Number 96175 Answers: 1 Comments: 1

∫(dx/(√(4x^2 +4x+3)))=?

$\int \frac{d x}{\sqrt{4 x^{2} + 4 x + 3}} = ?$

Question Number 96171 Answers: 0 Comments: 2

(4+(√(15)))^(3/2) −(4−(√(15)))^(3/2) = k(√6) find k

${(4 + \sqrt{15})}^{\frac{3}{2}} - {(4 - \sqrt{15})}^{\frac{3}{2}} = k \sqrt{6}$ $find k$

Question Number 96161 Answers: 1 Comments: 1

∫_1 ^4 ((sech^2 ((√x))+tanh ((√x)))/((√x) )) dx ?

$\underset{1}{\int^{4}} \frac{sech^{2} (\sqrt{x}) + \tanh (\sqrt{x})}{\sqrt{x}} d x ?$

Question Number 96155 Answers: 1 Comments: 4

Question Number 96148 Answers: 2 Comments: 14

Question Number 96140 Answers: 1 Comments: 5

xy′+y^2 =x^2 e^x ⇒ y′=xe^x −(y^2 /x) ⇒ y=xye^x −(1/(3x))∙y^3 ⇒ (y^3 /(3x))+y−xye^x =0 y((y^2 /(3x))+1−xe^x )=0 ⇒ y=±(√(3x(xe^x −1)))

${x y}^{'} + y^{2} = x^{2} e^{x} \Rightarrow y^{'} = {x e}^{x} - \frac{y^{2}}{x} \Rightarrow$ $y = {x y e}^{x} - \frac{1}{3 x} \cdot y^{3} \Rightarrow \frac{y^{3}}{3 x} + y - {x y e}^{x} = 0$ $y (\frac{y^{2}}{3 x} + 1 - {x e}^{x}) = 0 \Rightarrow y = \pm \sqrt{3 x ({x e}^{x} - 1)}$

Question Number 96138 Answers: 0 Comments: 1

xy′ + y^2 = x^2 e^x

${x y}^{'} + y^{2} = x^{2} e^{x}$

Question Number 96135 Answers: 0 Comments: 5

Question Number 96128 Answers: 1 Comments: 0

find ∫∫_R (x+2y)^2 dxdy in R=[−1,2] ×[0,2]

$f i n d \int \int_{R} {(x + 2 y)}^{2} d x d y i n R = [- 1, 2] \times [0, 2]$

Question Number 96131 Answers: 1 Comments: 0

(((x+4)^2 ))^(1/(3 )) + 4 (((x−3)^2 ))^(1/(3 )) + 5 ((x^2 +x−12))^(1/(3 )) = 0

$\sqrt[3]{{(x + 4)}^{2}} + 4 \sqrt[3]{{(x - 3)}^{2}} + 5 \sqrt[3]{x^{2} + x - 12} = 0$

Question Number 96125 Answers: 1 Comments: 0

4x^2 y′′ +12xy′ + 3y = 0

${4 x}^{2} y^{″} + {12 xy}^{'} + 3 y = 0$

Question Number 96117 Answers: 2 Comments: 0

(1−2xy) dx + (4y^3 −x^2 ) dy = 0

$(1 - 2 x y) d x + (4 y^{3} - x^{2}) d y = 0$

Question Number 96108 Answers: 0 Comments: 0

are the system (z,+,≤)is orderd integral domain ?

$a r e t h e s y s t e m (z, +, ⩽) i s o r d e r d i n t e g r a l d o m a i n ?$

Pg 1142 Pg 1143 Pg 1144 Pg 1145 Pg 1146 Pg 1147 Pg 1148 Pg 1149 Pg 1150 Pg 1151

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