Input:
dsolve(ds(y,t,0.5)-ds(y,x,2)-ds(y,x)-cos(t)-exp(x))
Write:
`dsolve(ds(y,t,0.5)-ds(y,x,2)-ds(y,x)-cos(t)-exp(x))`
Compute:
$$dsolve((-cos(t))-\frac{dy}{dx} +\frac{d^{{0.5}}y}{dt^{{0.5}}}-\frac{d^{{2}}y}{dx^{{2}}}-exp(x))$$
Output:
$$dsolve((-cos(t))-\frac{dy}{dx} +\frac{d^{{0.5}}y}{dt^{{0.5}}}-\frac{d^{{2}}y}{dx^{{2}}}-exp(x))== C_2-\frac{1}{2}\ exp(x)+exp(C_1-x)-cos(t)\ x+x\ y^{(0.5)}(t)$$
Result: $$C_2-\frac{1}{2}\ exp(x)+exp(C_1-x)-cos(t)\ x+x\ y^{(0.5)}(t)$$
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