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Popular >

y^'=sqrt(y)

Solution

y^{^{'}} = y

Solution

y = \frac{t ^{2}}{4} + \frac{c _{1} t}{2} + \frac{c _{1}^{2}}{4}

Solution steps

y^{'} (t) = y

Solve separable ODE:

y = \frac{t ^{2}}{4} + \frac{c _{1} t}{2} + \frac{c _{1}^{2}}{4}

y = \frac{t ^{2}}{4} + \frac{c _{1} t}{2} + \frac{c _{1}^{2}}{4}

Graph

Popular Examples

derivative of (4-x^2)/(x^3)derivative of

\frac{4 - x ^{2}}{x ^{3}}

derivative of sin(x-xsin(y))

\frac{d}{d x} (sin (x) - x sin (y))

limit as x approaches 4 of (2x+1)/(3x+3)

x \to 4 lim (\frac{2 x + 1}{3 x + 3})

(dy}{dx}=\frac{e^x)/y

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

integral from-infinity to 18 of xe^{x/9}

\int_{- \infty}^{18} x e^{\frac{x}{9}} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=sqrt(y) ?
The solution for y^'=sqrt(y) is y=(t^2)/4+(c_{1}t)/2+(c_{1}^2)/4