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Differential Equations
Solve the initial value problem "2f''(t)-3f'(t)+f(t)=te^t, f(0)=1,f'(0)=\\frac{3}{2}"
Using the point transformation [y = exp(ψ)], transform the equation (Eହ
) into a first
order non-linear O.D.E with independent variable x and dependent variable w, whereby w ≔ ψ
ᇱ
.
Afterwards, use the second point transformation ቂw =
ିଶఉᇲ(௫)
ఉ
ቃ to change this first order O.D.E to a
second order, linear and homogeneous O.D.E with independent variable x and dependent variable β .
Differential Equations
Solve the following initial value problem d^2 y/dx^2 +dy/dx -2y =-6 sin 2x -18 cos 2x , y(0) = 2, y'(0) = 2
Differential Equations
Solve the differential equation dy/dx +[x/1-x^2]y= x√y. y(0) =1
Differential Equations
Solve the initial value problem
y"(t)+ 2y'(t)+y(t)=3e^(-t) ; y'(0)=2 y(0)=4
y"(t)+ 2y'(t)+y(t)=3e^(-t) ; y'(0)=2 y(0)=4
Differential Equations
Consider the periodic function G(t)=e^t , 0≤ t < c, c a parameter.
G(t+c)=G(t).
Sketch the graph of G(t) and obtain its laplace form
G(t+c)=G(t).
Sketch the graph of G(t) and obtain its laplace form
Differential Equations
simple series circuit inductor 1 henry capacitor of 10 power minus 6 Faradas and a resistor of 1000 ohms . the initial charge on a capacitor is zero if a 12 volt battery is connected to the circuit and the circuit is closed at t = 0 find the charge on the capacitor 1 second later and the steady state charge
Differential Equations
using the method of undetermined coefficient find the general solution of the differential equation dy^4/dx^4-2dy^3/dx^3+2dy^2/dx^2=3/e^x+2x/e^x +sinx /e^x
Differential Equations
identify the type of the differential equation y =xdy/dx+1-logdy/dx and hance solve it
Differential Equations
solve the differential equation dy/dx + (x/1-x^2)y=xy^1/2 , y(0)=1
correct question
correct question
Differential Equations
Solve the differential equation:
dy/dx+(x÷1-x²)y=x√y,y(0)=1
dy/dx+(x÷1-x²)y=x√y,y(0)=1
