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Popular >

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

Solution

x \frac{d y}{d x} + 1 = x + y

Solution

y = x ln (x) + 1 + c_{1} x

Solution steps

x \frac{d y}{d x} + 1 = x + y

Solve linear ODE:

y = x ln (x) + 1 + c_{1} x

y = x ln (x) + 1 + c_{1} x

Graph

Popular Examples

(\partial)/(\partial y)(6-3x-2y)

\frac{\partial}{\partial y} (6 - 3 x - 2 y)

integral from-infinity to-1 of e^{-34t}

\int_{- \infty}^{- 1} e^{- 34 t} d t

sum from n=1 to infinity of (2n)/(1+n^4)

n = 1 \sum \infty \frac{2 n}{1 + n ^{4}}

(\partial)/(\partial x)(kv(1-e^{(-t/k)}))

\frac{\partial}{\partial x} (k v (1 - e^{(- \frac{t}{k})}))

integral from 0 to 3 of x

\int_{0}^{3} x d x

Frequently Asked Questions (FAQ)

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