1,286 Answered Questions for the topic differential equations

Differential Equations Ode

08/04/17

solve the differential equation dy/dx = (r√(x^2+y^2) + by) / bx, for y. The hint is to let v = y/x
By letting v = y/x, transform the differential equation to adifferential equation in v and x. Find the implicit solution of the resulting separableequation. Then use the relationship y = xv to... more
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Differential Equations Calculus Logistic Equations

05/24/17

Help?? I dont understand Calculus
What logistic equation satisfies this differenatial equation and condition? dy/dt=4y1-(y/24), y(0)=14 pls explain so I can actually understand what's going on in class
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Differential Equations Calculus 1

05/23/17

What's the general solution for this differential equation?
Dy/DX+3/x y=2x+5
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Differential Equations

05/09/17

What is the solution to the boundary-value problem?
y"-2y'+ (λ+1)y=0, y(0)=0, y'(L)=0
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04/24/17

Help proving differential equation
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 C(a)) = 0 using C= C(x)/C(a) and z=x/a... more
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Differential Equations

04/14/17

y^'=(-4x)/y Solve the differential equation using separation of variables.
y^'=-4x/y   How do I solve the differential equation using separation of variables?
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Differential Equations

03/30/17

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

03/24/17

Differential Equations
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 maximum value of y is =... more
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Differential Equations

03/22/17

What is the particular solution to dy/dx = 3y/x, with the initial condition y(1) = -1?
Is c = -1 true?
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Differential Equations

03/15/17

Differential Equations
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 explaining these problems?
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Differential Equations

03/15/17

Differential Equations
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 value problem. 3.... more
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Differential Equations

03/13/17

Differential Equations
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"
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Differential Equations

03/13/17

Differential Equations
Find the general solution of the differential equationy″(t)+36y(t)=0   I found the general solution to be: Asin(6t)+Bcos(6t)   For each of the following initial conditions, find a particular... more
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Differential Equations Linear Algebra Matrix Matrices

03/12/17

Confusion with differential equation applied as a matrix
http://i.imgur.com/PknZsfZ.png   I'm confused on why the first row has values 0 + yk+1 + 0 and the second row has 0 + 0 + yk+2
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Differential Equations

02/16/17

Differential Equations
1. A tank contains 1000L of pure water. Brine that contains 0.02kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.09kg of salt per liter enters the tank at a... more
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Differential Equations

02/16/17

Differential Equations
A tank is filled with 1000 liters of pure water. Brine containing 0.07 kg of salt per liter enters the tank at 5 liters per minute. Another brine solution containing 0.05 kg of salt per liter... more
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Differential Equations

02/16/17

Differential Equations
A tank contains 70 kg of salt and 2000 L of water. A solution of a concentration 0.0175 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the... more
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Differential Equations Calculus Calc High School: Math

02/06/17

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

02/01/17

Differential Equations Question
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?
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Differential Equations

02/01/17

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

01/14/17

2nd order differentlal equation with a constant term: how to solve?
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 when one term is... more
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Differential Equations

10/30/16

Help with differential equations problem!
A container initially contains 10L of a salt solution. Water flows into the container at a rate of 3 L/min, and the well-stirred mixture flows out at a rate of 2L/min. After 5 min the concentration... more
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Differential Equations

10/12/16

solve the differential equation
x2y"(x)+xy'(x)-y(x)=0 x is greater than 0; subject to y(1)=1 and y'(1)=1/2 a. solve the d.eb. determine the values of the parameters from the initial condition
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Differential Equations

10/11/16

solve the differential equation
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.eb. determine the values of the parameters from the initial condition
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Differential Equations

10/11/16

solve the differential equation
4x2y"(x)+8xy'(x)+17y(x)=0  x is greater than 0; subject to y(1)=1 and y'(1)=-1/2    a. solve the d.e b. determine the values of the parameters from the initial condition  
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