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Beliebt Rechnen >

e^yy^'=9x^7+2

Lösung

e^{y} y^{^{'}} = 9 x^{7} + 2

Lösung

y = ln (\frac{9 x ^{8}}{8} + 2 x + c_{1})

Schritte zur Lösung

e^{y} y^{'} (x) = 9 x^{7} + 2

Solve separable ODE:

y = ln (\frac{9 x ^{8}}{8} + 2 x + c_{1})

y = ln (\frac{9 x ^{8}}{8} + 2 x + c_{1})

Graph

Beliebte Beispiele

(y^2+6)dx=ysec^2(x)dy

(y^{2} + 6) d x = y sec^{2} (x) d y

(dy)/(dx)=(4x)/(y-1),y(2)=3

\frac{d y}{d x} = \frac{4 x}{y - 1}, y (2) = 3

4y^'-4y-72=3y^'

4 y^{^{'}} - 4 y - 72 = 3 y^{^{'}}

y^'=((2x*y^2+x))/((x^2*y+y))

y^{^{'}} = \frac{( 2 x \cdot y ^{2} + x )}{( x ^{2} \cdot y + y )}

(1-y^2)^{0.5}dx=(1+x^2)ydy

(1 - y^{2})^{0.5} d x = (1 + x^{2}) y d y