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Popular >

(dy)/(dx)+y=x

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

normal of f(x)=2x^2-5,(2,-2)normal of

f (x) = 2 x^{2} - 5, (2, - 2)

integral of 1/(xsqrt(x^4-16))

\int \frac{1}{x x ^{4} - 16} d x

derivative of ln(x+ln(sin(y)))

\frac{d}{d x} (ln (x) + ln (sin (y)))

derivative of-7x

\frac{d}{d x} (- 7 x)

(x+1)(dy)/(dx)+y=ln(x),y(1)=15

(x + 1) \frac{d y}{d x} + y = ln (x), y (1) = 15

Frequently Asked Questions (FAQ)

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