1. Solve the Differential Equations > subject to prescribed initial condition: a) у3 бх2 + бх — 3, х %3D ——1, у %3D 0 b) y'%3D 8(х — 7)*, х %3D 8, у %3D 10 c) y' = 2xvx, x = - 8, у 3 10 0, у %3D 1 х4+1 d) y' х %3D 1, у %3D 1 y4 e) у'%3D 4ху?, х%3D1, у %3D 1 4ху?, х %3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the Differential Equations
- subject to prescribed initial conditions
a) у' —D бх? + 6х — 3, х %3D—1, у %3D 0
b) у'3D 8(х — 7)3, х %3D 3D10
8(х — 7)8, х 3
8, у %—
= 10
с) у3D 2xVx, х 3D 0, у 3 1
y'
х4+1
d) y' =
y4
х%3D 1, у %3D 1
y
X =
e) у'3 4ху?, х 3D 1, у %3D1
4xу?,
X =
1.
Transcribed Image Text:Solve the Differential Equations - subject to prescribed initial conditions a) у' —D бх? + 6х — 3, х %3D—1, у %3D 0 b) у'3D 8(х — 7)3, х %3D 3D10 8(х — 7)8, х 3 8, у %— = 10 с) у3D 2xVx, х 3D 0, у 3 1 y' х4+1 d) y' = y4 х%3D 1, у %3D 1 y X = e) у'3 4ху?, х 3D 1, у %3D1 4xу?, X = 1.
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