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Popular >

(dy)/(dx)=(y+1)x^3

Solution

\frac{d y}{d x} = (y + 1) x^{3}

Solution

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

Solution steps

\frac{d y}{d x} = (y + 1) x^{3}

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=4(y^2+1),x(pi/4)=1

\frac{d y}{d x} = 4 (y^{2} + 1), x (\frac{π}{4}) = 1

2x(dy)/(dx)=(2x+1)y

2 x \frac{d y}{d x} = (2 x + 1) y

(dx)/(dt)=-(sqrt(x))/(50pi)

\frac{d x}{d t} = - \frac{x}{50 π}

(dy)/(dx)=((x+2))/((2y))

\frac{d y}{d x} = \frac{( x + 2 )}{( 2 y )}

x^2(dy)/(dx)+xy=3x

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

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=(y+1)x^3 ?
The solution for (dy)/(dx)=(y+1)x^3 is y=e^{(x^4)/4+c_{1}}-1