07/28/13
How to simplify this?
x^2(a(a-1)x^(a-2))+4x(ax^(a-1))
How does the expression above simplify to
a(a-1)x^a+4ax^a?
07/26/13
Find the general solution?
Find the general solution of y(4)-y=3t+cos t.
Answer: y=c1et+c2e-t+c3cos t+c4sin t-3t-(1/4)t*sin t
r=1, -1, i, -i,
But how do I figure out the form of the particular solution?
07/24/13
Find the general solution?
Find the general solution of y"'-y"-y'+y=2e^(-t)+3.
y=c1et+c2tet+c3e-t+(1/2)te-t+3 (This is the answer)
07/24/13
Should I use U-substitution for finding the Integral of X^2/(x^2 + x-6)
I am trying to understand what's best to start this problem.
07/23/13
eliminate the parameter t x=sex^2 t y=tan^2 t
Eliminate the parameter.and find the arc length of a cardioid with r=a(1-cosx)?
07/23/13
Express this in the form?
Express 1+i in the form R(cos θ+i sin θ)=Reiθ.
Answer: √2ei[(pi/4)+2m*pi]
07/22/13
Find the general solution?
Find the general solution of y"+9y=(t^2)(e^3t)+6.
r^2+9=0
r=±3i
Answer: c1cos 3t+c2sin 3t+(1/162)(9t^2-6t+1)e^(3t)+2/3
Please show the work step by step.
07/20/13
Find a second solution?
Use the method of reduction of order to find a second solution of t2y"-4ty'+6y=0, t>0; y1(t)=t2.
Answer: y2(t)=t3
07/20/13
Find the value?
If y1, and y2 are a fundamental set of solutions of t2y"-2y'+(3+t)y=0 and if W(y1, y2)(2)=3, find the value of W(y1, y2)(4).
Answer: 3√e≈4.946
07/19/13
homework question
When an initial amount of money, in dollars, is invested into an account that earns interest continuously, the Future Value of the account after years is given by the formula: F(t)=Ae^rt where is...
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07/18/13
Find the Wronskian?
Find the Wronskian of two solutions of t^2*y"-t(t+2)y'+(t+2)y=0 without solving the equation.
Answer: ct^2*e^t
07/18/13
Find the Wronskian?
If the Wronskian of f and g is t*cos(t)-sin(t), and if u=f+3g, v=f-g, find the Wronskian of u and v.
Answer: -4(t*cos(t)-sin(t))
07/18/13
Find the Wronskian?
Find the Wronskian of e^t*sin(t), e^t*cos(t).
Answer: -e^2t
fg'-gf'
(e^t*sin(t))(-e^t*sin(t)*cos(t)+e^t*cos(t))-(e^t*cos(t))(e^t*cos(t)+e^t*sin(t))
How do I simplify this?
07/17/13
Find g(t)?
If the Wronskian W of f and g is 3e^4t, and if f(t)=e^2t, find g(t).
Answer: 3te^2t+ce^2t
07/16/13
Solve the difference equation?
Solve the difference equation yn+1=sqrt((n+3)/(n+1))yn in terms of the initial value y0.
y1=sqrt(3)y0
y2=sqrt(6)y0
y3=sqrt(10)y0
Answer: yn=y0*sqrt(((n+2)(n+1))/2)
How do I get to the answer?
07/16/13
how to teach equations
Do the equations x = 4y + 1 and x = 4y – 1 have thesame solution? How might you explain your answer to someone who has not learnedalgebra? Show your answers
07/16/13
how many square yards of roof are required on a roundhouse that occupies 220 degrees of a circle?
The outer edge of the roof has a radius of 225 feet, and the inner edge of the roof has a radius of 110 feet.
07/16/13
i need help fining x-intercepts
Find the x-intercepts of the parabola with vertex (1,20) and y-intercept (o,16). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth.
07/15/13
what is the equation of the line perpendicular to Ax + By = C through point (a,b)?
what is the equation? Then, after that equation, how do I find the point where that line and Ax + By = C intersect?
07/15/13
write the formula for the geometric sequence 3,12,48,193,...
This is a exponents problem that i need help with.
07/14/13
A certain substance has a heat of vaporization of 34.45 kJ/mol. At what Kelvin temperature will the vapor pressure be 5.00 times higher than it was at 335 K?
I've tried this question numerous times and Sapling keeps saying its incorrect... can someone please explain what I did wrong? and how to work the problem correctly? thank you!
Use the...
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