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y^'=(x^2-y^2)/(xy),y(2)=4	y^{\prime\:}=\frac{x^{2}-y^{2}}{xy},y(2)=4
derivative of 12xsin(x)	derivative\:12x\sin(x)
limit as x approaches 2 of (2x-1)^2-x^2	\lim\:_{x\to\:2}((2x-1)^{2}-x^{2})
integral from 0 to infinity of xe^{-x/4}	\int\:_{0}^{\infty\:}xe^{-\frac{x}{4}}dx
tangent of y=x^2,(-0.7,0.49)	tangent\:y=x^{2},(-0.7,0.49)
integral of (x-8)sin(pix)	\int\:(x-8)\sin(πx)dx
laplacetransform t^2-e^{-9t}+5	laplacetransform\:t^{2}-e^{-9t}+5
derivative of 1/(2x-1/(3x^2))	\frac{d}{dx}(\frac{1}{2x}-\frac{1}{3x^{2}})
integral of sin(x)sec^3(x)	\int\:\sin(x)\sec^{3}(x)dx
xy^2+3y^2-x^2(dy)/(dx)=0	xy^{2}+3y^{2}-x^{2}\frac{dy}{dx}=0
integral from 2 to sqrt(6 of)x	\int\:_{2}^{\sqrt{6}}xdx
derivative of ((x^2+3)/(x^2-3))^3	derivative\:(\frac{x^{2}+3}{x^{2}-3})^{3}
(\partial)/(\partial x)(x*e^{xy})	\frac{\partial\:}{\partial\:x}(x\cdot\:e^{xy})
area x=y^2-1,x=y	area\:x=y^{2}-1,x=y
derivative of x^3-6x^2+9x+1	\frac{d}{dx}(x^{3}-6x^{2}+9x+1)
derivative of 2x+x^2	\frac{d}{dx}(2x+x^{2})
integral of tan^2(8x)	\int\:\tan^{2}(8x)dx
derivative of y=(e^x)/(x-1)	derivative\:y=\frac{e^{x}}{x-1}
(dy)/(dx)=((e^{-y}+e^{-5x-y}))/(e^xy)	\frac{dy}{dx}=\frac{(e^{-y}+e^{-5x-y})}{e^{x}y}
limit as x approaches 1 of-9+3x^2	\lim\:_{x\to\:1}(-9+3x^{2})
integral of sqrt(t^2-t^4) 1	\int\:\sqrt{t^{2}-t^{4}}\frac{d}{1}dt
y^{'''}+2y^{''}+2y^'=0	y^{\prime\:\prime\:\prime\:}+2y^{\prime\:\prime\:}+2y^{\prime\:}=0
derivative of arctan(y/x)	derivative\:\arctan(\frac{y}{x})
(sin(t))^'	(\sin(t))^{\prime\:}
derivative of f(x)=4x^2-15	derivative\:f(x)=4x^{2}-15
e^{2x}y^'-4y=0	e^{2x}y^{\prime\:}-4y=0
derivative of x^{8/9}	\frac{d}{dx}(x^{\frac{8}{9}})
sum from n=1 to infinity of (x^n)/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{4^{n}}
integral of 2(cos(x))^{-1/2}sin(x)	\int\:2(\cos(x))^{-\frac{1}{2}}\sin(x)dx
(\partial)/(\partial x)((-x^2)/(y^2))	\frac{\partial\:}{\partial\:x}(\frac{-x^{2}}{y^{2}})
integral of (5x^2)/((x+1)(x^2+1))	\int\:\frac{5x^{2}}{(x+1)(x^{2}+1)}dx
integral of x^3(1-x^2)^{1/4}	\int\:x^{3}(1-x^{2})^{\frac{1}{4}}dx
(d^2)/(dx^2)(6sec(x))	\frac{d^{2}}{dx^{2}}(6\sec(x))
integral from 0 to 3pi of sin^2(x)	\int\:_{0}^{3π}\sin^{2}(x)dx
integral of x/(1+x^2)	\int\:\frac{x}{1+x^{2}}dx
y^{''}-4y^'+9y=0,y(0)=0,y^'(0)=-8	y^{\prime\:\prime\:}-4y^{\prime\:}+9y=0,y(0)=0,y^{\prime\:}(0)=-8
f(x)=(x^3)/9	f(x)=\frac{x^{3}}{9}
(dy)/(dx)-3y=-7sin(x)-7cos(x)	\frac{dy}{dx}-3y=-7\sin(x)-7\cos(x)
limit as x approaches+1 of \|e^{x-1}-1\|	\lim\:_{x\to\:+1}(\left\|e^{x-1}-1\right\|)
derivative of cos(x)+xsin(x)	derivative\:\cos(x)+x\sin(x)
(\partial)/(\partial x)(1/3 x^3y^3)	\frac{\partial\:}{\partial\:x}(\frac{1}{3}x^{3}y^{3})
integral from 8 to 9 of xsqrt(x-8)	\int\:_{8}^{9}x\sqrt{x-8}dx
area ((x-x^2)-(x^2-6x)),0,3.5	area\:((x-x^{2})-(x^{2}-6x)),0,3.5
tangent of f(x)=2sin(x)+6cos(x),\at x=0	tangent\:f(x)=2\sin(x)+6\cos(x),\at\:x=0
(\partial)/(\partial x)(x^8y^4-x^7y^3)	\frac{\partial\:}{\partial\:x}(x^{8}y^{4}-x^{7}y^{3})
derivative of 5(2xe^x+e^xx^2)	\frac{d}{dx}(5(2xe^{x}+e^{x}x^{2}))
integral from 1 to 4 of 10sqrt(t)ln(t)	\int\:_{1}^{4}10\sqrt{t}\ln(t)dt
(\partial)/(\partial x)(6y^2+478x-10)	\frac{\partial\:}{\partial\:x}(6y^{2}+478x-10)
derivative of-(2x/((4+x^2)^2))	\frac{d}{dx}(-\frac{2x}{(4+x^{2})^{2}})
integral of (x^2+x-3)/x	\int\:\frac{x^{2}+x-3}{x}dx
derivative of 2(x-2)	\frac{d}{dx}(2(x-2))
derivative of ((cos(x)/(1-sin(x)))^2)	\frac{d}{dx}((\frac{\cos(x)}{1-\sin(x)})^{2})
integral of 1/((1+2x))	\int\:\frac{1}{(1+2x)}dx
y^{''}-3y^'-10y=-4e^{4t},y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-3y^{\prime\:}-10y=-4e^{4t},y(0)=0,y^{\prime\:}(0)=0
integral of 12e^{4x}	\int\:12e^{4x}dx
derivative of y=sqrt(x)+\sqrt[7]{x}	derivative\:y=\sqrt{x}+\sqrt[7]{x}
laplacetransform 10t^3e^{-2t}	laplacetransform\:10t^{3}e^{-2t}
area y= 1/2 x^3+2,y=x+1,0,2	area\:y=\frac{1}{2}x^{3}+2,y=x+1,0,2
tangent of f(x)=x^2+x,(-2,2)	tangent\:f(x)=x^{2}+x,(-2,2)
integral from 3 to 7 of 1/(sqrt(6x+7))	\int\:_{3}^{7}\frac{1}{\sqrt{6x+7}}dx
(\partial)/(\partial u)(v/(u-v))	\frac{\partial\:}{\partial\:u}(\frac{v}{u-v})
(dy)/(dx)=2sin(x)(y-3)	\frac{dy}{dx}=2\sin(x)(y-3)
derivative of 3/(2sqrt(3x+1))	\frac{d}{dx}(\frac{3}{2\sqrt{3x+1}})
limit as x approaches 0 of 4cos(2x)	\lim\:_{x\to\:0}(4\cos(2x))
y^{''}-y^'=6xe^x	y^{\prime\:\prime\:}-y^{\prime\:}=6xe^{x}
limit as x approaches 0 of x^3-3x^2+2x-3	\lim\:_{x\to\:0}(x^{3}-3x^{2}+2x-3)
2y^{''}-32y=0	2y^{\prime\:\prime\:}-32y=0
limit as x approaches 1 of (1-x)/(\sqrt[3]{8x^3-8)}	\lim\:_{x\to\:1}(\frac{1-x}{\sqrt[3]{8x^{3}-8}})
derivative of-12x^2	\frac{d}{dx}(-12x^{2})
integral of-4sin(2x)+3cos(3x)	\int\:-4\cdot\:\sin(2x)+3\cdot\:\cos(3x)dx
(d^2y)/(dx^2)=(dy)/(dx)	\frac{d^{2}y}{dx^{2}}=\frac{dy}{dx}
sum from n=1 to infinity}((-1)^{n-1 of)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{(-1)^{n-1}}{n!}
derivative of (x^2-3x)/2	derivative\:\frac{x^{2}-3x}{2}
derivative of ln(x+sqrt(x^2+1))	derivative\:\ln(x+\sqrt{x^{2}+1})
limit as x approaches infinity of x/((ln(x))^3+2x)	\lim\:_{x\to\:\infty\:}(\frac{x}{(\ln(x))^{3}+2x})
2y(dy)/(dx)= x/(sqrt(x^2-16)),y(5)=2	2y\frac{dy}{dx}=\frac{x}{\sqrt{x^{2}-16}},y(5)=2
integral of sqrt(9x-36)	\int\:\sqrt{9x-36}dx
(dy)/(dx)=10e^{x-y}	\frac{dy}{dx}=10e^{x-y}
x^{''}=x	x^{\prime\:\prime\:}=x
derivative of sqrt(x^2-1)arcsec(x)	derivative\:\sqrt{x^{2}-1}\arcsec(x)
(\partial)/(\partial y)(2e^yx)	\frac{\partial\:}{\partial\:y}(2e^{y}x)
x^2y^'+2xy+1=0	x^{2}y^{\prime\:}+2xy+1=0
integral from-1 to 2 of e^x	\int\:_{-1}^{2}e^{x}dx
inverse oflaplace (3*s)/(5s^2+125)	inverselaplace\:\frac{3\cdot\:s}{5s^{2}+125}
y^'+2xy=10x	y^{\prime\:}+2xy=10x
integral of cos^{13}(x)sin(x)	\int\:\cos^{13}(x)\sin(x)dx
derivative of ((x+8/(x-8))^5)	\frac{d}{dx}((\frac{x+8}{x-8})^{5})
join 1+(a/(x^2))	join\:1+(\frac{a}{x^{2}})
limit as x approaches 0 of (f(x))/(x^2)	\lim\:_{x\to\:0}(\frac{f(x)}{x^{2}})
d/(dt)(e^{-t}(asin(t)+bcos(t)))	\frac{d}{dt}(e^{-t}(a\sin(t)+b\cos(t)))
integral from 0 to 6 of (4t)/((t-7)^2)	\int\:_{0}^{6}\frac{4t}{(t-7)^{2}}dt
laplacetransform e^{-2t}t^2	laplacetransform\:e^{-2t}t^{2}
limit as x approaches 0 of x^6e^{-x^5}	\lim\:_{x\to\:0}(x^{6}e^{-x^{5}})
integral from 1 to infinity of x^2ln(x)	\int\:_{1}^{\infty\:}x^{2}\ln(x)dx
(12y^2-x*y)dx+(x^2)dy=0	(12y^{2}-x\cdot\:y)dx+(x^{2})dy=0
integral of (-3x+4)*e^{-x}	\int\:(-3x+4)\cdot\:e^{-x}dx
derivative of (3x^2/(1+x^3))	\frac{d}{dx}(\frac{3x^{2}}{1+x^{3}})
integral of (x+7)/(sqrt(5-x))	\int\:\frac{x+7}{\sqrt{5-x}}dx
y^'=x^2y^3	y^{\prime\:}=x^{2}y^{3}
area y=sqrt(x+4),y=((x))/((2)+2)	area\:y=\sqrt{x+4},y=\frac{(x)}{(2)+2}

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