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Popular >

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

Solution

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

Solution

y = - x - 1 + 4 e^{x - 1}

Solution steps

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

Solve linear ODE:

y = - x - 1 + 4 e^{x - 1}

y = - x - 1 + 4 e^{x - 1}

Popular Examples

limit as x approaches 0 of xarctan(1/x)

x \to 0 lim (x arctan (\frac{1}{x}))

derivative of (e^{3x}+1^2)

\frac{d}{d x} ((e^{3 x} + 1)^{2})

derivative of 3tsec(t)derivative of

3 t sec (t)

laplacetransform t*sin(2t)laplace transform

t \cdot sin (2 t)

y^{''}-y^'+y=13sin(t)

y^{^{''}} - y^{^{'}} + y = 13 sin (t)

Frequently Asked Questions (FAQ)

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