Reference no: EM131434852
Assignment
I. Solve the Bernoulli's differential equation.
dy/ dx = (-3x2 + 2y2) / 4xy
II. Find the particular solution of the homogeneous differential equation with the given initial condition.
xdy = (y + 3√xy)dx, y(1) = 0
III. Determine whether the given differential equations are exact. If it is exact, then find its general solution
1. (x3 + 8y - 3x) dy = 3y (x2 - 1) dx
2. (2xy - tan y) dx + (x2 - x sec2 y) dy = 0
IV. Find explicit (if convenient) general solution of the given differential equation
(4 - x2) dy - (1 +y)2 dx = 0
V. Solve the linear system of equations using Gaussian elimination.
2x1 + 3x2 - x3 + 3 x4 = 11
x1 + x2 + x3 - x4 = -1
x1 + x2 + x3 - x4 = -4
VI. Find the solution in a vector form of the given system.
x1 + 3x4 - x5 = 0
x2 - 2x4 + 6x5 = 0
x3 + x4 - 8x5 = 0
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