I', really stuck on this one HW question: I have to show how dC/dt = (D * (d^2C/dx^2)) + P at steady state (so when cD/dt =0) equals: (d^2C/dz^2) + (Pa^2/D...

I', really stuck on this one HW question: I have to show how dC/dt = (D * (d^2C/dx^2)) + P at steady state (so when cD/dt =0) equals: (d^2C/dz^2) + (Pa^2/D...

y^'=-4x/y How do I solve the differential equation using separation of variables?

how do I find the general solution of the differential equation (–3 + x) y ' = 8y

Would someone explain these to the very end of the problem? I'm still a bit confused. Let y be the solution of the initial value problem. y″+y=−sin(2x) y(0)=0,y′(0)=0. The...

Is c = -1 true?

Find a general solution. 1. u''+7u=0 2. y''-2y'+26y=0 Solve the given initial value problem. 3. y''+9y=0 Would someone mind...

The auxiliary equation for the given differential equation has complex roots. Find a general solution. 1. y''+y=0 2. u''+7u=0 Solve the given initial...

3. Solve the following differential equation: y″+9y=0; y=3, y′=3 at x=Π/3 I've never seen a situation with, "y′=3 at x=Π/3"

Find the general solution of the differential equation y″(t)+36y(t)=0 I found the general solution to be: Asin(6t)+Bcos(6t) For each of the following initial...

Use the differential equation and the given point to find f(x). dy/dx= (-48)/(3x+5)^2 Point: (-1,3)

Find the solution to the differential equation dz/dt=9te5z that passes through the origin. Could someone help me understand this?

Find the particular solution of the differential equation (x^2/(y^2-6))(dy/dx)=1/(2y) satisfying the initial condition y(1)=√7 Could someone help me understand this?

Hello. I know to use the trial solution y(t)=ert when solving a 2nd order diff. eq. which is homogeneous. However, this only works when every term contains some form of y. What about...

a. Solve the differential equation y= 2x√1-y2 b. Explain why the initial value problem y =2x√1-y2 with y(0) = 3 does not have a solution.

4x2y"(x)+8xy'(x)+y(x)=0 x is greater than 0; subject to y(1)=2 and y'(1)=1 a. solve the d.e b. determine the values of the parameters from the initial condition

Find the power series in x for the general solution of (1+2x^2)y"+7xy'+2y=0. So I got up to an+2=-an(2n+1)/(n+1). How do I find the right answer...

Okay, so I need to put xy' -2y=x^2 into the standard for for differential equations (y' +P(x)y=Q(x) ), and I rearranged it as y' -2y = x, but the book shows that it needs to be y' +(-2/x)y...

So if I have dx/dt=x2/3 x ∈ real numbers and x(0)=0 How do I get to x(t)=0 when t≤a or x(t)=(t-a)3 when t>a as a solution I'm...

Find the power series in x for the general solution of (1+x^2)y"+6xy'+6y=0. Please show all your work step by step.

Find the power series in x for the general solution of (1+x^2)y"+6xy'+6y=0. Here's my work: Ly=(1+x^2)y"+6xy'+6y y=Σanxn from n=0...

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