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Popular >

(dy)/(dx)+y=x,y(0)=4

Solution

\frac{d y}{d x} + y = x, y (0) = 4

Solution

y = x - 1 + \frac{5}{e ^{x}}

Solution steps

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

Solve linear ODE:

y = x - 1 + \frac{5}{e ^{x}}

y = x - 1 + \frac{5}{e ^{x}}

Graph

Popular Examples

integral of (10x)/(2+5x^2)

\int \frac{10 x}{2 + 5 x ^{2}} d x

limit as x approaches-1 of (x+1)/(x-1)

x \to - 1 lim (\frac{x + 1}{x - 1})

normal of y=x^3+1,(1,2)normal of

y = x^{3} + 1, (1, 2)

f (x) = \frac{1}{x ^{4}}

(dy)/(dx)=y(2x^2+6)

\frac{d y}{d x} = y (2 x^{2} + 6)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+y=x,y(0)=4 ?
The solution for (dy)/(dx)+y=x,y(0)=4 is y=x-1+5/(e^x)