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Popular >

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

Solution

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

Solution

y = - \frac{c _{1}}{x} + 3

Solution steps

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

Solve separable ODE:

y = - \frac{c _{1}}{x} + 3

y = - \frac{c _{1}}{x} + 3

Popular Examples

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

y^{^{'}} = y + y^{2}

y^'=t*e^y,y(2)=0

y^{^{'}} = t \cdot e^{y}, y (2) = 0

(dy)/(dx)=ycos(x),y(0)=1

\frac{d y}{d x} = y cos (x), y (0) = 1

Frequently Asked Questions (FAQ)

What is the solution for x^2(dy)/(dx)+xy=3x ?
The solution for x^2(dy)/(dx)+xy=3x is y=-(c_{1})/x+3