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A system vibrates according to the equation x ''(t)+9x(t)=6sin3t , where x is the displacement and t is the time. Determine a general solution for x(t) by using the method of undetermined coefficients .
3d²y/dx²+dy/dx-14y=0y(0)=1y(0)=-1
Find the constants C0, C1, and x1 so that the quadrature formulae z0^1 f(x) dx = C0 f(0) + C1 f(x1),
Has the highest possible degree of precision
form a partial differential equation for (x− a)² + (y−b)² + z² = 1
(x− a)² + (y−b)² + z² = 1
Solve the differential equation
dy/dx=x/16y
.
a) Find the implicit solution
b) Find the equation of the solution through the point (x,y)=(4,1) Your equation must describe a single curve of y=f(x) with the domain of f as large as possible.
c) Find the equation of the solution through the point (x,y)=(0,−2) Your answer should be of the form y=f(x)
Find the equation of the solution to dy/dx = x^(5) * y through the point (x;y)=(1;2)
Find a solution to dy/dx=xy+9x+4y+36
If necessary, use K to denote an arbitrary constant.
Find u from the differential equation and initial condition.
du/dt= e^(1.5t-1.3u), u=0 1.3
Find u=?
Find a function y of x such that
9yy'=x and y(9)=10
