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Popular >

y^'=6xy-5x,y(0)=1

Solution

y^{^{'}} = 6 x y - 5 x, y (0) = 1

Solution

y = \frac{e ^{3 x^{2}}}{6} + \frac{5}{6}

Solution steps

y^{'} (x) = 6 x y - 5 x

Solve separable ODE:

y = \frac{e ^{3 x^{2}}}{6} + \frac{5}{6}

y = \frac{e ^{3 x^{2}}}{6} + \frac{5}{6}

Graph

Popular Examples

(dy)/(dx)=-3/5 x^6y^4

\frac{d y}{d x} = - \frac{3}{5} x^{6} y^{4}

(dy)/(dx)=(y^2)/(sqrt(-x^2+100))

\frac{d y}{d x} = \frac{y ^{2}}{- x ^{2} + 100}

y^{^{'}} = 2 x y - 2 x

y^'=x^2cos(y)+x^2+1+cos(y)

y^{^{'}} = x^{2} cos (y) + x^{2} + 1 + cos (y)

(dy)/(dt)=2y+1,y(0)=0

\frac{d y}{d t} = 2 y + 1, y (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for y^'=6xy-5x,y(0)=1 ?
The solution for y^'=6xy-5x,y(0)=1 is y=(e^{3x^2})/6+5/6