please help find the Runge-Kutta method order 4 using the equation in the photo.
Please Help Find The Runge Kutta Method Order 4 Using The Equation In The Photo Something Like This 1 (96.85 KiB) Viewed 34 times
something like this
Please Help Find The Runge Kutta Method Order 4 Using The Equation In The Photo Something Like This 2 (155.28 KiB) Viewed 34 times
w Runge - Kotta Method Order 4 LIT.E - och) G.T.E = 0 (hu) Y; + 1 = y; + ak, + b Ke + Ck3 tdku g Where Ki= hf (x; y;) K2 = hf (x; +4h, gj + B K.) B 13 = hf (X; + 8 h yjet +862) Ku= hf (x; + Mh. t yj + WK3)
h²fz hf finns Pazha IK, for t + figy t («n>(@m) fyy) (193) * an f(x + xh. gj + B K.) = f(x, y) + (x hfx + 3 K fy) (r; y + f, y ، ( 2 2 + Olho) ba? beth foxt 2 2 You-yo tan f(sun) + bn fly uyu}}+{bach? fu + b B1° ffy ] Gjyys + = Bh " ] f fyy + baßhoffey Str.yi) + 061 you. = 4y + (atb)hf (653) + bh* [26+ Bes, ] ) tbm? Det at many xip ftay ) (gays) +0609) J B + و بر + نود تا Psy رودری + B-K Method of crder 2 G.E.: 06). L.L.E. - O(n) och? I comparing each terms of (1) and (2), we get: a+b=1 ba=/ 32 [bB = / ( al unknows 3 3 equations foo many Satulionis choose one of the 4 unknowns then find the other 3.
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+ f, y ، ( 2 2 + Olho) ba? beth foxt 2 2 You-yo tan f(sun) + bn fly uyu}}+{bach? fu + b B1° ffy ] Gjyys + = Bh " ] f fyy + baßhoffey Str.yi) + 061 you. = 4y + (atb)hf (653) + bh* [26+ Bes, ] ) tbm? Det at many xip ftay ) (gays) +0609) J B + و بر + نود تا Psy رودری + B-K Method of crder 2 G.E.: 06). L.L.E. - O(n) och? I comparing each terms of (1) and (2), we get: a+b=1 ba=/ 32 [bB = / ( al unknows 3 3 equations foo many Satulionis choose one of the 4 unknowns then find the other 3.