Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- Verify by substitution that the family of functions y = - x) sin(-3x) + cx is a solution of the ordinary differential equation -y + y'x = 2x² cos(-3x). Show your work. The symbol c is a non-zero constant.arrow_forwardDetermine whether the differential equation 1 +2y cos(x) +2(yx + sin(x) — e³) y' = 0 is exact. If it is exact, find its general solution in explicit form. 2arrow_forwardLet (a) (b) (√x+²) dx + (y² + In(2x)) dy=0, x>0. Check that this is an exact differential equation. Solve the equation leaving the general solution in implicit form.arrow_forward
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