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Question Number 175734 Answers: 0 Comments: 0

form a differential equation from the following 1) x^2 +y^2 −2ax+1=0 a=constant 2) y=Aϱ^(3x) +Bϱ^(−2x)

$${form}\:{a}\:{differential}\:{equation}\:{from}\:{the}\:{following} \\ $$$$\left.\mathrm{1}\right)\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{ax}+\mathrm{1}=\mathrm{0}\:\:{a}={constant} \\ $$$$\left.\mathrm{2}\right)\:{y}={A}\varrho^{\mathrm{3}{x}} +{B}\varrho^{−\mathrm{2}{x}} \\ $$

Question Number 175731 Answers: 0 Comments: 0

Question Number 175715 Answers: 2 Comments: 1

how is the solution of this qution (√((x)(x+1)(x+2)(x+3)+1)) when determinant (((x=50))) determinant ((),())

$${how}\:{is}\:{the}\:{solution}\:{of}\:{this}\:{qution} \\ $$$$ \\ $$$$\sqrt{\left({x}\right)\left({x}+\mathrm{1}\right)\left({x}+\mathrm{2}\right)\left({x}+\mathrm{3}\right)+\mathrm{1}} \\ $$$${when}\:\:\:\:\:\begin{array}{|c|}{{x}=\mathrm{50}}\\\hline\end{array}\begin{array}{|c|c|}\\\\\hline\end{array} \\ $$

Question Number 175717 Answers: 1 Comments: 0

Question Number 175709 Answers: 2 Comments: 0

Question Number 175706 Answers: 2 Comments: 1

Question Number 175697 Answers: 2 Comments: 0

∫_( 0) ^( 1) ((3x^3 − x^2 + 2x − 4)/( (√(x^2 − 3x + 2)))) dx

$$\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\:\frac{\mathrm{3x}^{\mathrm{3}} \:−\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{2x}\:−\:\mathrm{4}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{3x}\:+\:\mathrm{2}}}\:\mathrm{dx} \\ $$

Question Number 175685 Answers: 2 Comments: 0

3^5^x = 5^3^x solve for x

$$\mathrm{3}^{\mathrm{5}^{{x}} } =\:\mathrm{5}^{\mathrm{3}^{{x}} } \\ $$$${solve}\:{for}\:{x} \\ $$

Question Number 175674 Answers: 2 Comments: 0

Question Number 175672 Answers: 0 Comments: 0

Question Number 175669 Answers: 0 Comments: 0

∫(([cos^(−1) x{(√((1−x^2 )))}]^(−1) )/(log_e {1+(((sin[2x(√((1−x^2 ))) ])/π) }))dx

$$\:\:\int\frac{\left[\mathrm{cos}^{−\mathrm{1}} {x}\left\{\sqrt{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)}\right\}\right]^{−\mathrm{1}} }{\mathrm{log}_{{e}} \left\{\mathrm{1}+\left(\frac{\mathrm{sin}\left[\mathrm{2}{x}\sqrt{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)}\:\right]}{\pi}\:\right\}\right.}{dx} \\ $$

Question Number 175670 Answers: 1 Comments: 0

Solve the differential equation (1+y^2 )dx−(1+x^2 )xydy=0

$${Solve}\:{the}\:{differential}\:{equation} \\ $$$$\left(\mathrm{1}+{y}^{\mathrm{2}} \right){dx}−\left(\mathrm{1}+{x}^{\mathrm{2}} \right){xydy}=\mathrm{0} \\ $$

Question Number 181509 Answers: 1 Comments: 0

Solve: (dy/dx)=((y^2 −3xy−5x^2 )/x^2 ) y(1)=−1 M.m

$$\mathrm{Solve}: \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{\mathrm{y}^{\mathrm{2}} −\mathrm{3xy}−\mathrm{5x}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} }\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{y}\left(\mathrm{1}\right)=−\mathrm{1} \\ $$$$ \\ $$$$\mathrm{M}.\mathrm{m} \\ $$

Question Number 175655 Answers: 1 Comments: 0

Question Number 175653 Answers: 2 Comments: 0

Q: prove that the following equation has no solution. (√(x +⌊ x ⌋)) + (√(x −(√x) )) = 1

$$ \\ $$$$\:\:\:{Q}:\:\:{prove}\:{that}\:{the}\:{following} \\ $$$$\:\:\:\:\:{equation}\:{has}\:{no}\:{solution}. \\ $$$$ \\ $$$$\:\:\:\sqrt{{x}\:+\lfloor\:{x}\:\rfloor}\:+\:\sqrt{{x}\:−\sqrt{{x}}\:}\:=\:\mathrm{1} \\ $$$$ \\ $$

Question Number 175650 Answers: 0 Comments: 0

cos(5x)= a.cos^( 5) (x)+b.cos^( 4) (x)+c.cos^3 (x)+ d.cos^( 2) (x)+e.cos(x)+f a , b , c , d , e , f =?

$$\: \\ $$$$ \\ $$$${cos}\left(\mathrm{5}{x}\right)=\:{a}.{cos}^{\:\mathrm{5}} \left({x}\right)+{b}.{cos}^{\:\mathrm{4}} \left({x}\right)+{c}.{cos}^{\mathrm{3}} \left({x}\right)+\:{d}.{cos}^{\:\mathrm{2}} \left({x}\right)+{e}.{cos}\left({x}\right)+{f} \\ $$$$\:\:\:\:\:\:{a}\:,\:{b}\:,\:{c}\:,\:{d}\:,\:{e}\:,\:{f}\:=? \\ $$$$ \\ $$$$ \\ $$

Question Number 175652 Answers: 0 Comments: 0

Question Number 175644 Answers: 0 Comments: 0

Question Number 175639 Answers: 1 Comments: 0

x^(99) +y^(99) = x^(100) Interger solutions?

$${x}^{\mathrm{99}} +{y}^{\mathrm{99}} =\:{x}^{\mathrm{100}} \\ $$$${Interger}\:{solutions}?\: \\ $$

Question Number 175638 Answers: 0 Comments: 0

Ω = ∫_0 ^( (π/2)) (( sin( 3x ))/( (√( 1− sin(x).cos(x))))) dx = 2((√( a)) .ln( 1 + (√(b )) ) + c ) find the value of : a + b + c = ? ■ m.n

$$\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{\:\:{sin}\left(\:\mathrm{3}{x}\:\right)}{\:\sqrt{\:\mathrm{1}−\:{sin}\left({x}\right).{cos}\left({x}\right)}}\:{dx}\:=\:\mathrm{2}\left(\sqrt{\:{a}}\:.{ln}\left(\:\mathrm{1}\:+\:\sqrt{{b}\:}\:\:\right)\:+\:{c}\:\right) \\ $$$$ \\ $$$${find}\:{the}\:{value}\:{of}\::\:\:\:\:\:\:{a}\:+\:{b}\:+\:{c}\:=\:?\:\:\:\:\:\:\:\:\:\:\blacksquare\:{m}.{n} \\ $$$$\: \\ $$

Question Number 175637 Answers: 1 Comments: 0

Question Number 175620 Answers: 0 Comments: 1

the domain of f(x) = (√(log_x {x})) ; {.} denote the fractional part is

$${the}\:{domain}\:{of}\:\:{f}\left({x}\right)\:\:=\:\:\sqrt{\mathrm{log}_{{x}} \left\{{x}\right\}}\:\:; \\ $$$$\left\{.\right\}\:{denote}\:{the}\:{fractional}\:{part}\:{is} \\ $$

Question Number 175618 Answers: 1 Comments: 2

Question Number 175614 Answers: 1 Comments: 0

∫(1/(4t^3 +3t^2 +4t+1))dt

$$\int\frac{\mathrm{1}}{\mathrm{4}{t}^{\mathrm{3}} +\mathrm{3}{t}^{\mathrm{2}} +\mathrm{4}{t}+\mathrm{1}}{dt} \\ $$

Question Number 175608 Answers: 1 Comments: 3

Question Number 175602 Answers: 1 Comments: 2

∫ (dx/(csc x+ cos x)) =?

$$\:\int\:\frac{\mathrm{dx}}{\mathrm{csc}\:\mathrm{x}+\:\mathrm{cos}\:\mathrm{x}}\:=? \\ $$

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