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Popular >

(dy)/(dx)=x+4xy

Solution

\frac{d y}{d x} = x + 4 x y

Solution

y = \frac{e ^{2 x^{2} + c_{1}}}{4} - \frac{1}{4}

Solution steps

\frac{d y}{d x} = x + 4 x y

Solve separable ODE:

y = \frac{e ^{2 x^{2} + c_{1}}}{4} - \frac{1}{4}

y = \frac{e ^{2 x^{2} + c_{1}}}{4} - \frac{1}{4}

Popular Examples

xsqrt(1-y^2dx)+ysqrt(1-x^2)dy=0

x 1 - y^{2} d x + y 1 - x^{2} d y = 0

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

d/(dθ)(r(θ))+r(θ)tan(θ)=tan(θ)

\frac{d}{d θ} (r (θ)) + r (θ) tan (θ) = tan (θ)

(dy)/(dx)=(1+x^2)/(1-y^2),y=0,x=0

\frac{d y}{d x} = \frac{1 + x ^{2}}{1 - y ^{2}}, y = 0, x = 0

f^'(x)+2xf(x)=0,f(0)=3

f^{^{'}} (x) + 2 x f (x) = 0, f (0) = 3

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x+4xy ?
The solution for (dy)/(dx)=x+4xy is y=(e^{2x^2+c_{1}})/4-1/4