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Beliebt Rechnen >

e^yy^'=((ln(t))^2)/t ,y(1)=ln(7)

Lösung

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}, y (1) = ln (7)

Lösung

y = ln (\frac{ln ^{3} ( t )}{3} + 7)

Schritte zur Lösung

e^{y} y^{'} (t) = \frac{( ln ( t ) ) ^{2}}{t}

Solve separable ODE:

y = ln (\frac{ln ^{3} ( t )}{3} + 7)

y = ln (\frac{ln ^{3} ( t )}{3} + 7)

Graph

Beliebte Beispiele

f^'(x)=0.039f(x)

f^{^{'}} (x) = 0.039 f (x)

y^{^{'}} = \frac{- x y ^{2}}{4}

(dx)/(dy)=60-x/(100),x=4000,y=0

\frac{d x}{d y} = 60 - \frac{x}{100}, x = 4000, y = 0

e^y(dy)/(dx)-x^2=0,y(0)=0

e^{y} \frac{d y}{d x} - x^{2} = 0, y (0) = 0

e^yy^'=((ln(t))^2)/t ,y(1)=ln(8)

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}, y (1) = ln (8)