07/24/13

Find a particular solution?
Use the method of variation of parameters to find a particular solution of y"-5y'+6y=2e^t. Answer: Y(t)=e^t r=2, 3
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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)  
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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]  
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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.
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07/21/13

Find the general solution?
Find the general solution of y"-2y'-3y=3e^2t. Answer: c1e3t+c2e-t-e2t  
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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  
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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
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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
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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))
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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?
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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
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07/17/13

How can I learn programming?
I don't know anything about it but I want to learn it so I can build any electronic devices I want with the knowledge. Can I learn it online for free? What programming language must I choose?
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07/17/13

Find the Wronskian?
Find the Wronskian of e^2t, e^(-3t/2). W(f, g)=fg'-gf' -3/2e^2t(e^-3t/2)-e^(-3t/2)(2e^2t) =-3/2e^(7t/2)-2e^t/2. Am I right?
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07/16/13

Solve the initial value problem?
Solve the initial value problem y"-y'-2y=0, y(0)=α, y'(0)=2. Then find α so that the solution approaches zero as t→∞.
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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?
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07/14/13

Suggest me a good textbook for partial differential equations?
What's the name of the textbook for partial differential equations that MIT uses? Name me the title of the book, the edition, author, etc.
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07/14/13

Find the balance?
An investor deposits $1000 in an account paying interest at a rate of 8% compounded monthly, and also makes additional deposits of $25 per month. Find the balance in the account after 3 years.
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07/13/13

Is differential geometry pure math?
Is this course pure math? Is it college math or graduate level math? Do physics and engineering majors need this course? What's the name of the textbook for this course that MIT uses?
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07/12/13

Solve the difference equation?
Solve the difference equation yn+1=(n+1)/(n+2) yn in terms of the initial value y0. Answer: yn=y0/(n+1)
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07/12/13

Solve the difference equation?
Solve the difference equation yn+1=-0.9yn in terms of the initial value yo.
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07/10/13

Can I get private student loans?
I'm currently undocumented but will soon get legal status with DACA and my SSN. But can I get private student loans without going to college but self-study the college courses at home? I have my... more
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07/10/13

Solve the initial value problem?
Solve the initial value problem y'=-y/2+t, y(0)=0 by the method of successive approximations.
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07/10/13

Solve the differential equation?
Solve the differential equation e^x dx+(e^x cot(y)+2y csc(y))dy=0. M=e^x N=e^x cot(y)+2y csc(y) My=0 Nx=e^x cot(y) Obviously isn't exact. What to do next?
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07/10/13

Solve the initial value problem?
Solve the initial value problem y'=2t(1+y), y(0)=0 by the method of successive approximations.
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07/08/13

Find approximate values?
Find approximate values of the solution of y'=3+t-y, y(0)=1 at t=0.1, 0.2, 0.3, and 0.4 using the Euler method with h=0.1.
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