b) Find general solution and paticular solution to the following 2nd order ODE initial value problems: 1) 2y" + 3y' - 2y = 0, with y(0) = 1, y'(0) = 7 2) 3y" - 4y = 0, with y(0) = 2, y' (0) = -8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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b) Find general solution and paticular solution to the following 2nd order ODE initial value
problems:
1) 2y" + 3y - 2y = 0, with y(0) = 1, y'(0) = 7
2) 3y" - 4y = 0, with y(0) = 2, y'(0) = -8
Q5:a) Using the Runge-Kutta method, solve = x + y² with the initial condition y(0) = 1 at
dx
x = 0.2 when h = 0.2.
b\ Solve for general solution:
дz
ax ду
22.
+x
дz
2
x²y²z²
Transcribed Image Text:b) Find general solution and paticular solution to the following 2nd order ODE initial value problems: 1) 2y" + 3y - 2y = 0, with y(0) = 1, y'(0) = 7 2) 3y" - 4y = 0, with y(0) = 2, y'(0) = -8 Q5:a) Using the Runge-Kutta method, solve = x + y² with the initial condition y(0) = 1 at dx x = 0.2 when h = 0.2. b\ Solve for general solution: дz ax ду 22. +x дz 2 x²y²z²
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