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Popular >

y^'=e^{3x}-y

Solution

y^{^{'}} = e^{3 x} - y

Solution

y = \frac{e ^{3 x}}{4} + \frac{c _{1}}{e ^{x}}

Solution steps

y^{'} (x) = e^{3 x} - y

Solve linear ODE:

y = \frac{e ^{3 x}}{4} + \frac{c _{1}}{e ^{x}}

y = \frac{e ^{3 x}}{4} + \frac{c _{1}}{e ^{x}}

Popular Examples

integral of 3tan^3(x)

\int 3 tan^{3} (x) d x

sum from n=0 to infinity of (7^n)/4

n = 0 \sum \infty \frac{7 ^{n}}{4}

x^{''}+2x^'+2x=0

x^{^{''}} + 2 x^{^{'}} + 2 x = 0

(d^2)/(dx^2)(-sin(3x))

\frac{d ^{2}}{d x ^{2}} (- sin (3 x))

integral of x+6-x^2

\int x + 6 - x^{2} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=e^{3x}-y ?
The solution for y^'=e^{3x}-y is y=(e^{3x})/4+(c_{1})/(e^x)