1. Find a particular solution of the differential equation and calculate the value of the resulting function y = φ (x) at x = x0 to the nearest two decimal places.
1.20 y´´ = cosx + e-x, x0 = π, y (0) = -e-π, y´(0) = 1.
2. Find the general solution of the differential equation that admit a lowering of the order
2.20 y´´- 2y´ctgx = sin3x
3. Solve the Cauchy problem for differential equations admitting a reduction of order.
3.20 2y´2 = (y - 1) y´´, y (0) = 2, y´(0) = 2.
4. Integrate the following equation.
4.20 (y + sinxcos2yx) / cos2yxdx + (x / cos2yx-siny) dy = 0
5. Record equation of the curve, passing through the point A (x0, y0), and possessing a the following property: length the perpendicular dropped from the origin of coordinates onto the tangent to the curve, is equal to the abscissa the point of tangency.
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent
No feedback yet