(6y+2t-7)dt+(8y+6t-1)dy=0,y(-1)=2

Lösung

(6 y + 2 t - 7) d t + (8 y + 6 t - 1) d y = 0, y (- 1) = 2

y = \frac{1 - 6 t + 20 t ^{2} + 100 t + c _{1} + 1}{8}, y = \frac{1 - 6 t - 20 t ^{2} + 100 t + c _{1} + 1}{8}

Schritte zur Lösung

(6 y + 2 t - 7) d t + (8 y + 6 t - 1) d y = 0

Solve exact ODE:

y = \frac{1 - 6 t + 20 t ^{2} + 100 t + c _{1} + 1}{8}, y = \frac{1 - 6 t - 20 t ^{2} + 100 t + c _{1} + 1}{8}

y = \frac{1 - 6 t + 20 t ^{2} + 100 t + c _{1} + 1}{8}, y = \frac{1 - 6 t - 20 t ^{2} + 100 t + c _{1} + 1}{8}

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