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Using fourth order Runge Kutta method , solve the differential        equation                             y'=ty=f(t,y) , y(1)=2       on the interval [1, 1.4] with h=0.2.

Using fourth order Runge Kutta method , solve the differential        equation                             y'=ty=f(t,y) , y(1)=2       on the interval [1, 1.4] with h=0.2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Using fourth order Runge Kutta method , solve the differential 
      equation 

                           y'=ty=f(t,y) , y(1)=2

      on the interval [1, 1.4] with h=0.2.

(b) Prove that for all values of ? and ? , the planes 

           \frac{2x|a}+\frac{y|b}+\frac{2z|c}-1+?(\frac{x|a}-\frac{2y|b}-\frac{z|c}-2)=0

and      \frac{4x|a}-\frac{3y|b}-5+?(\frac{5y|b}+\frac{4z|c}+3)=0

intersect on the same line . 

(a) Using fourth order Runge Kutta method, solve the differential equation y' = ty = f(t, y), y(1) = 2 on the interval [1, 1.4] with h = 0.2. (b) Prove that for all values of A and µ, the planes and 2x 1) 23 + a b c | + ³ −1+1 4x 3y a b X 21) 3 b intersect on the same line. a c 3-5+45+²+3)=0 5+μ b - 2 = 0
Transcribed Image Text:(a) Using fourth order Runge Kutta method, solve the differential equation y' = ty = f(t, y), y(1) = 2 on the interval [1, 1.4] with h = 0.2. (b) Prove that for all values of A and µ, the planes and 2x 1) 23 + a b c | + ³ −1+1 4x 3y a b X 21) 3 b intersect on the same line. a c 3-5+45+²+3)=0 5+μ b - 2 = 0
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