Learn more about our help with Assignments: Differential Equations
Search & Filtering
Differential Equations
Differentiate f(x)= e^x/x^2
Differential Equations
I'd like to know how i can tackle this question because its getting me confused:
" The curve y =1/a + bx passes through the point (1, -1) and its gradient at that point is 2. Find values of a and b
" The curve y =1/a + bx passes through the point (1, -1) and its gradient at that point is 2. Find values of a and b
Differential Equations
for the function f(x)=csc x + cot x on the interval (0, 2pi)
a) determine where it is discontinuous. Identify any vertical asymptotes
b) determine the intervals of concavity and inflection points
a) determine where it is discontinuous. Identify any vertical asymptotes
b) determine the intervals of concavity and inflection points
Differential Equations
(a) Verify that the system y" + ay = 0, y'(0) = 0, y(1) = 0 is a Sturm Liouville System.
(b) Find the eigenvalues and eigenfunctions of the system.
(c) Prove that the eigenfunctions are orthogonal and determine the corresponding orthonormal functions.
(b) Find the eigenvalues and eigenfunctions of the system.
(c) Prove that the eigenfunctions are orthogonal and determine the corresponding orthonormal functions.
Differential Equations
find two power series to the differential equations x^2 y'' -3xy'+2y=0
or write the first four non-zeros terms
or write the first four non-zeros terms
Differential Equations
solve the following system of differential equations using Laplace transforms and inverses.
x''+y+z=-1, x(0)=0, x'(0)=1
x+y''-z=0, y(0)=y'(0)=0
-x'-y+z''=0, z(0)=-1, z'(0)=1
x''+y+z=-1, x(0)=0, x'(0)=1
x+y''-z=0, y(0)=y'(0)=0
-x'-y+z''=0, z(0)=-1, z'(0)=1
Differential Equations
w''+y+z=-1
w+y''-z=0
-w'-y'+z''=0
w(0)=0, w'(0)=1, y(0)=0, y'(0)=0, z(0)=-1, z'(0)=1
Solve the system by using Laplace transform and inverse Laplace transform
w+y''-z=0
-w'-y'+z''=0
w(0)=0, w'(0)=1, y(0)=0, y'(0)=0, z(0)=-1, z'(0)=1
Solve the system by using Laplace transform and inverse Laplace transform
Differential Equations
What are the steps to find this answer;
One birth every 1minute and 44 seconds.
One death every 3 minutes 32 seconds
Net gain of one international migration every 2 minutes 19seconds.
Therefore overall population increase of one person every 1minute 23 seconds. What are the steps to get this solution??
One birth every 1minute and 44 seconds.
One death every 3 minutes 32 seconds
Net gain of one international migration every 2 minutes 19seconds.
Therefore overall population increase of one person every 1minute 23 seconds. What are the steps to get this solution??
Differential Equations
Let y(x) satisfy the ordinary differential equation
d^2y/dx^2 - (a^2)y = f(x)
where a>0, and y(x) tends rapidly to zero as x tends to +/- ∞. Show that the Fourier transform ŷ(k) of y(x) is given by
ŷ(k) = - f^(k)/(k^2+a^2)
(in the line above f^(k) is supposed to be f-hat(k), sorry couldn't find the right symbol)
d^2y/dx^2 - (a^2)y = f(x)
where a>0, and y(x) tends rapidly to zero as x tends to +/- ∞. Show that the Fourier transform ŷ(k) of y(x) is given by
ŷ(k) = - f^(k)/(k^2+a^2)
(in the line above f^(k) is supposed to be f-hat(k), sorry couldn't find the right symbol)
Differential Equations
Prove trigonometric identity:
2tan(x) - sin2(x) / 2sin^2(x) = tan(x)
2tan(x) - sin2(x) / 2sin^2(x) = tan(x)
