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Popular Calculus >

y^'=(e^x(y-2))/3

Solution

y^{^{'}} = \frac{e ^{x} ( y - 2 )}{3}

Solution

y = e^{\frac{1}{3} e^{x} + c_{1}} + 2

Solution steps

y^{'} (x) = \frac{e ^{x} ( y - 2 )}{3}

Solve separable ODE:

y = e^{\frac{1}{3} e^{x} + c_{1}} + 2

y = e^{\frac{1}{3} e^{x} + c_{1}} + 2

Graph

Popular Examples

(dy)/(dx)=(xy^3-y^3)/(e^x)

\frac{d y}{d x} = \frac{x y ^{3} - y ^{3}}{e ^{x}}

y^'+x/(x^2-9)*y=0

y^{^{'}} + \frac{x}{x ^{2} - 9} \cdot y = 0

(dx)/(dt)=10-x/(10)

\frac{d x}{d t} = 10 - \frac{x}{10}

y^'= y/(x+xe^x)

y^{^{'}} = \frac{y}{x + x e ^{x}}

(t^2+1)dy+3tydt=6tdt,y(0)=5

(t^{2} + 1) d y + 3 t y d t = 6 t d t, y (0) = 5

Frequently Asked Questions (FAQ)

What is the solution for y^'=(e^x(y-2))/3 ?
The solution for y^'=(e^x(y-2))/3 is y=e^{1/3 e^x+c_{1}}+2