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Popular >

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

Solution

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

Solution

y = e^{x + c_{1}} x

Solution steps

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

Solve separable ODE:

y = e^{x + c_{1}} x

y = e^{x + c_{1}} x

Graph

Popular Examples

(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

y^'=(5sin(x))/(sin(y)),y(0)= pi/2

y^{^{'}} = \frac{5 sin ( x )}{sin ( y )}, y (0) = \frac{π}{2}

(dy)/(dx)=(3x^2-2x)/(2y+1),y(0)=2

\frac{d y}{d x} = \frac{3 x ^{2} - 2 x}{2 y + 1}, y (0) = 2

Frequently Asked Questions (FAQ)

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