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Popular >

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

Solution

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

Solution

y = 2 (x - 1) + \frac{c _{1}}{e ^{x}}

Solution steps

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

Solve linear ODE:

y = 2 (x - 1) + \frac{c _{1}}{e ^{x}}

y = 2 (x - 1) + \frac{c _{1}}{e ^{x}}

Popular Examples

(\partial)/(\partial y)((4y)/(x^5))

\frac{\partial}{\partial y} (\frac{4 y}{x ^{5}})

tangent of f(x)=3x^4-x^3-5x^2+7,\at x=3 tangent of

f (x) = 3 x^{4} - x^{3} - 5 x^{2} + 7, at x = 3

integral of-1/(x+2)

\int - \frac{1}{x + 2} d x

(dy)/(dx)=(((y+3))/((2x+5)))^2

\frac{d y}{d x} = (\frac{( y + 3 )}{( 2 x + 5 )})^{2}

(dy)/(dx)=-y^2+y

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

Frequently Asked Questions (FAQ)

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