1. Find a particular solution of a linear homogeneous differential equation.
1.23 yIV - 16y = 0, y (0) = 0, y (0) = 0, y (0) = 0, y (0) = -8.
2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.23 x ´= 4x-y, y´ = - x + 4y
3. Solve the differential equation by variation of arbitrary constants.
3.23 y + 2y + y = 3e-x√x + 1
4. Solve the following problems.
4.23 Write the equation of the curve, all tangent to which passes through the origin.
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