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Popular >

(dy)/(dx)=ye^{3x}

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=y^2-3y+2

\frac{d y}{d x} = y^{2} - 3 y + 2

(1+t^2)(dy)/(dt)=1+y^2

(1 + t^{2}) \frac{d y}{d t} = 1 + y^{2}

y^'=(x+xy^2)/(4y)

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

(dx)/(dt)=30-x/(100)

\frac{d x}{d t} = 30 - \frac{x}{100}

y(dy)/(dx)=(x-e^x)/(e^{y^2)}

y \frac{d y}{d x} = \frac{x - e ^{x}}{e ^{y^{2}}}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=ye^{3x} ?
The solution for (dy)/(dx)=ye^{3x} is y=e^{1/3 e^{3x}+c_{1}}