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Popular >

(dy)/(dx)=y,y(0)=1

Solution

\frac{d y}{d x} = y, y (0) = 1

Solution

y = e^{x}

Solution steps

\frac{d y}{d x} = y

Solve separable ODE:

y = e^{x}

y = e^{x}

Popular Examples

(dy)/(dx)=8x^4(6+y^2)^{3/2}

\frac{d y}{d x} = 8 x^{4} (6 + y^{2})^{\frac{3}{2}}

limit as x approaches 0 of (e^x-1)/(5x)

x \to 0 lim (\frac{e ^{x} - 1}{5 x})

y^{''}-2y^'+y=3e^x

y^{^{''}} - 2 y^{^{'}} + y = 3 e^{x}

integral of (9sqrt(x))/(x^3+1)

\int \frac{9 x}{x ^{3} + 1} d x

(\partial)/(\partial x)(2-(x^2+y^2)^{1/7})

\frac{\partial}{\partial x} (2 - (x^{2} + y^{2})^{\frac{1}{7}})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=y,y(0)=1 ?
The solution for (dy)/(dx)=y,y(0)=1 is y=e^x