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Question Number 74218    Answers: 1   Comments: 0

verify that y(x)=e^x (cos e^x −e^x sin e^x ) is the solution of integral equation y(x)=(1−xe^(2x) )cos 1−e^(2x) sin 1+∫_0 ^x {1−(x−t)e^(2x) }y(t)dt

$${verify}\:{that}\:{y}\left({x}\right)={e}^{{x}} \left(\mathrm{cos}\:{e}^{{x}} −{e}^{{x}} \mathrm{sin}\:{e}^{{x}} \right)\:{is}\:{the}\:{solution}\:{of}\:{integral}\:{equation}\:{y}\left({x}\right)=\left(\mathrm{1}−{xe}^{\mathrm{2}{x}} \right)\mathrm{cos}\:\mathrm{1}−{e}^{\mathrm{2}{x}} \mathrm{sin}\:\mathrm{1}+\underset{\mathrm{0}} {\overset{{x}} {\int}}\left\{\mathrm{1}−\left({x}−{t}\right){e}^{\mathrm{2}{x}} \right\}{y}\left({t}\right){dt} \\ $$

Question Number 74214    Answers: 1   Comments: 0

Question Number 74213    Answers: 2   Comments: 1

Question Number 74211    Answers: 0   Comments: 1

Question Number 74210    Answers: 1   Comments: 0

∫e^t cos e^t dt

$$\int{e}^{{t}} \mathrm{cos}\:{e}^{{t}} {dt} \\ $$

Question Number 74209    Answers: 1   Comments: 0

Question Number 74207    Answers: 0   Comments: 0

Question Number 74196    Answers: 0   Comments: 1

solve for x: 4^x +6^x =9^x

$${solve}\:{for}\:{x}: \\ $$$$\mathrm{4}^{{x}} +\mathrm{6}^{{x}} =\mathrm{9}^{{x}} \\ $$

Question Number 74191    Answers: 2   Comments: 0

9Y4 +75X Z86 −−−− W387 find X+Y+Z+W.

$$\:\:\:\:\mathrm{9}{Y}\mathrm{4} \\ $$$$+\mathrm{75}{X} \\ $$$$\:\:\:\:{Z}\mathrm{86} \\ $$$$−−−− \\ $$$${W}\mathrm{387} \\ $$$${find}\:{X}+{Y}+{Z}+{W}. \\ $$

Question Number 74187    Answers: 0   Comments: 0

Question Number 74181    Answers: 1   Comments: 0

Question Number 74180    Answers: 0   Comments: 0

Question Number 74179    Answers: 0   Comments: 0

Question Number 74173    Answers: 1   Comments: 1

Question Number 74172    Answers: 0   Comments: 0

Question Number 74171    Answers: 0   Comments: 0

Question Number 74170    Answers: 0   Comments: 0

Question Number 74164    Answers: 2   Comments: 0

factorize 6x^2 −11xy −10y^2

$${factorize} \\ $$$$\mathrm{6}{x}^{\mathrm{2}} \:−\mathrm{11}{xy}\:−\mathrm{10}{y}^{\mathrm{2}} \\ $$

Question Number 74163    Answers: 1   Comments: 0

factorize (x−1)^2 −4y^2

$${factorize} \\ $$$$\left({x}−\mathrm{1}\right)^{\mathrm{2}} \:−\mathrm{4}{y}^{\mathrm{2}} \\ $$

Question Number 74162    Answers: 0   Comments: 0

Question Number 74161    Answers: 0   Comments: 0

Question Number 74160    Answers: 0   Comments: 0

Question Number 74168    Answers: 3   Comments: 1

Question Number 74155    Answers: 0   Comments: 0

Question Number 74148    Answers: 1   Comments: 0

{ ((−x(√3)+2my(√2)=((√3)/3))),((2mx−3y(√6)=1)) :} help me solve it.

$$\begin{cases}{−{x}\sqrt{\mathrm{3}}+\mathrm{2}{my}\sqrt{\mathrm{2}}=\frac{\sqrt{\mathrm{3}}}{\mathrm{3}}}\\{\mathrm{2}{mx}−\mathrm{3}{y}\sqrt{\mathrm{6}}=\mathrm{1}}\end{cases}\:\:\:\:\:\: \\ $$$$ \\ $$$${help}\:{me}\:{solve}\:{it}. \\ $$

Question Number 74144    Answers: 0   Comments: 0

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