Differential Equations Answers

Solve differential equation dy/dx=y(y-1)

Solve system of diff. equet. using Laplace transform:
x''+x'+y''-y=e^t
x'+2x-y'+y=e^(-t)

Solve equation using LAPLACE transform:
x''+4x'+4x=exp(-2t)(cos(t)+2sin(t))
x(0)=-1
x'(0)=1

3(4+x)=18
2x-1=3/2

Solve the system of differential equations dy/dx=xz+1, dz/dx=-xy for x=0.3 using 4th order R-K method with y(0)=0, z(0)=1.

f(t)=At^b e^(-ct) Show that the rate of change in concentration with respect to time is f'(t)=A(b-ct)t^b-1 e^(-ct)

Dear please try to solve by Green Function technique .y"+x y=1,y(0)=y(1)=0 (2) y"+y=x . y'(0)=y'(1)=0 I shall be very thankful to u.best wishes

Solve differential equation :-
1- y ‴ + 4 y ′ = 3x -1
2- x^2 y ″ +x y ′ - y = x Inx

Solve differential equation :-
1- Y^4 +9 y″ =(x^2 +1 )sin3x
2- y″ +4 y = sin^2 x