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Popular >

y^'=-6xy,y(0)=7

Solution

y^{^{'}} = - 6 x y, y (0) = 7

Solution

y = 7 e^{- 3 x^{2}}

Solution steps

y^{'} (x) = - 6 x y

Solve separable ODE:

y = 7 e^{- 3 x^{2}}

y = 7 e^{- 3 x^{2}}

Popular Examples

(dy)/(dx)=(x^2)/(y^3)

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

y^{^{'}} + x^{3} y = 0

(dx)/(dy)=(6x5-2x+1)/(cos(y)+ey)

\frac{d x}{d y} = \frac{6 x 5 - 2 x + 1}{cos ( y ) + ey}

(dy)/(dt)=sqrt(y)

\frac{d y}{d t} = y

(dh)/(dt)=-3/100*sqrt(h-18)

\frac{d h}{d t} = - \frac{3}{100} \cdot h - 18

Frequently Asked Questions (FAQ)

What is the solution for y^'=-6xy,y(0)=7 ?
The solution for y^'=-6xy,y(0)=7 is y=7e^{-3x^2}