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Beliebt Rechnen >

(3+x)dx=(e^t-e^{-t})dt

Lösung

(3 + x) d x = (e^{t} - e^{- t}) d t

Lösung

t = ln - \frac{2 c _{1} - 6 x - x ^{2} + ( - 2 c _{1} + 6 x + x ^{2} ) ^{2} - 16}{4}, t = ln - \frac{2 c _{1} - 6 x - x ^{2} - ( - 2 c _{1} + 6 x + x ^{2} ) ^{2} - 16}{4}

Schritte zur Lösung

(3 + x) d x = (e^{t} - e^{- t}) d t

Solve separable ODE:

t = ln - \frac{2 c _{1} - 6 x - x ^{2} + ( - 2 c _{1} + 6 x + x ^{2} ) ^{2} - 16}{4}, t = ln - \frac{2 c _{1} - 6 x - x ^{2} - ( - 2 c _{1} + 6 x + x ^{2} ) ^{2} - 16}{4}

t = ln - \frac{2 c _{1} - 6 x - x ^{2} + ( - 2 c _{1} + 6 x + x ^{2} ) ^{2} - 16}{4}, t = ln - \frac{2 c _{1} - 6 x - x ^{2} - ( - 2 c _{1} + 6 x + x ^{2} ) ^{2} - 16}{4}

Graph

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